Elliptic and Parabolic Equations Involving the Hardy-Leray Potential

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110605600
Total Pages : 406 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Elliptic and Parabolic Equations Involving the Hardy-Leray Potential by : Ireneo Peral Alonso

Download or read book Elliptic and Parabolic Equations Involving the Hardy-Leray Potential written by Ireneo Peral Alonso and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-22 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different behaviors is collected in a unified and comprehensive presentation.

Elliptic and Parabolic Equations Involving the Hardy-Leray Potential

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110606275
Total Pages : 514 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Elliptic and Parabolic Equations Involving the Hardy-Leray Potential by : Ireneo Peral Alonso

Download or read book Elliptic and Parabolic Equations Involving the Hardy-Leray Potential written by Ireneo Peral Alonso and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-22 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different behaviors is collected in a unified and comprehensive presentation.

Quasilinear Elliptic Equations with Degenerations and Singularities

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 9783110154900
Total Pages : 240 pages
Book Rating : 4.1/5 (549 download)

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Book Synopsis Quasilinear Elliptic Equations with Degenerations and Singularities by : Pavel Drábek

Download or read book Quasilinear Elliptic Equations with Degenerations and Singularities written by Pavel Drábek and published by Walter de Gruyter. This book was released on 1997 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief J rgen Appell, W rzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Krak w, Poland Simeon Reich, Haifa, Israel Please submit book proposals to J rgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Morse Index of Solutions of Nonlinear Elliptic Equations

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Author :
Publisher : de Gruyter
ISBN 13 : 9783110537321
Total Pages : 0 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis Morse Index of Solutions of Nonlinear Elliptic Equations by : Lucio Damascelli

Download or read book Morse Index of Solutions of Nonlinear Elliptic Equations written by Lucio Damascelli and published by de Gruyter. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief J rgen Appell, W rzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Krak w, Poland Simeon Reich, Haifa, Israel Please submit book proposals to J rgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Hardy Inequalities and Applications

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110980371
Total Pages : 158 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Hardy Inequalities and Applications by : Nikolai Kutev

Download or read book Hardy Inequalities and Applications written by Nikolai Kutev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.

Lie Group Analysis of Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111387496
Total Pages : 298 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Lie Group Analysis of Differential Equations by : Ranis Ibragimov

Download or read book Lie Group Analysis of Differential Equations written by Ranis Ibragimov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-03-04 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling.

Cross Diffusion Systems

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110795132
Total Pages : 236 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Cross Diffusion Systems by : Dung Le

Download or read book Cross Diffusion Systems written by Dung Le and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

Nonlinear Functional Analysis and Applications

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111031810
Total Pages : 466 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Nonlinear Functional Analysis and Applications by : Jesús Garcia-Falset

Download or read book Nonlinear Functional Analysis and Applications written by Jesús Garcia-Falset and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-03-06 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc. This work is devoted, in a self-contained way, to several subjects of this topic such as theory of accretive operators in Banach spaces, theory of abstract Cauchy problem, metric and topological fixed point theory. Special emphasis is given to the study how these theories can be used to obtain existence and uniqueness of solutions for several types of evolution and stationary equations. In particular, equations arising in dynamical population and neutron transport equations are discussed.

Nonlinear Reaction-Diffusion Processes for Nanocomposites

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110648997
Total Pages : 200 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Nonlinear Reaction-Diffusion Processes for Nanocomposites by : Jesús Ildefonso Díaz

Download or read book Nonlinear Reaction-Diffusion Processes for Nanocomposites written by Jesús Ildefonso Díaz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-21 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.

Shape Optimization

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111025438
Total Pages : 292 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Shape Optimization by : Catherine Bandle

Download or read book Shape Optimization written by Catherine Bandle and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

Game Theory and Partial Differential Equations

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Publisher : de Gruyter
ISBN 13 : 9783110619256
Total Pages : 212 pages
Book Rating : 4.6/5 (192 download)

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Book Synopsis Game Theory and Partial Differential Equations by : Pablo Blanc

Download or read book Game Theory and Partial Differential Equations written by Pablo Blanc and published by de Gruyter. This book was released on 2019-08-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extending the well-known connection between classical linear potential theory and probability theory (through the interplay between harmonic functions and martingales) to the nonlinear case of tug-of-war games and their related partial differential equations, this unique book collects several results in this direction and puts them in an elementary perspective in a lucid and self-contained fashion.

Nonautonomous Fractional Evolution Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111391248
Total Pages : 258 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Nonautonomous Fractional Evolution Equations by : Yong Zhou

Download or read book Nonautonomous Fractional Evolution Equations written by Yong Zhou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional evolution equations describe various complex and nonlocal systems with memory. This volume investigates fractional evolution equations, in infinite intervals. The book covers a range of topics, including the existence, uniqueness, attractivity, and applications to fractional diffusion equations and fractional Schrodinger equations. Researchers and graduate students in pure and applied mathematics will find this a useful reference.

Multivalued Differential Equations

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Publisher : Walter de Gruyter
ISBN 13 : 9783110132120
Total Pages : 280 pages
Book Rating : 4.1/5 (321 download)

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Book Synopsis Multivalued Differential Equations by : Klaus Deimling

Download or read book Multivalued Differential Equations written by Klaus Deimling and published by Walter de Gruyter. This book was released on 1992 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Kraków, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dłotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Elliptic And Parabolic Equations

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101709
Total Pages : 425 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Elliptic And Parabolic Equations by : Zhuoqun Wu

Download or read book Elliptic And Parabolic Equations written by Zhuoqun Wu and published by World Scientific Publishing Company. This book was released on 2006-10-17 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book presents the related basic theories and methods to enable readers to appreciate the commonalities between these two kinds of equations as well as contrast the similarities and differences between them.

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

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Publisher :
ISBN 13 : 9783111766201
Total Pages : 547 pages
Book Rating : 4.7/5 (662 download)

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Book Synopsis Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations by : Thomas Runst

Download or read book Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations written by Thomas Runst and published by . This book was released on 1996 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen Appell. Titles in planning include Eduardo V. Teixeira, Free Boundary Problems: A Primer (2018) Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Dung Le, Strongly Coupled Parabolic and Elliptic Systems: Existence and Regularity of Strong and Weak Solutions (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Approximation Procedures in Nonlinear Oscillation Theory

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 9783110141320
Total Pages : 292 pages
Book Rating : 4.1/5 (413 download)

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Book Synopsis Approximation Procedures in Nonlinear Oscillation Theory by : N. A. Bobylev

Download or read book Approximation Procedures in Nonlinear Oscillation Theory written by N. A. Bobylev and published by Walter de Gruyter. This book was released on 1994 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Kraków, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dłotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Harnack Inequalities and Nonlinear Operators

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Author :
Publisher : Springer Nature
ISBN 13 : 3030737780
Total Pages : 202 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Harnack Inequalities and Nonlinear Operators by : Vincenzo Vespri

Download or read book Harnack Inequalities and Nonlinear Operators written by Vincenzo Vespri and published by Springer Nature. This book was released on 2021-05-29 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research. The topics of the conference are certainly of great interest for the international mathematical community.