Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540218395
Total Pages : 172 pages
Book Rating : 4.2/5 (183 download)

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Book Synopsis Uniqueness Theorems for Variational Problems by the Method of Transformation Groups by : Wolfgang Reichel

Download or read book Uniqueness Theorems for Variational Problems by the Method of Transformation Groups written by Wolfgang Reichel and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity.

Harmonic Analysis and Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3031243110
Total Pages : 241 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Michael Ruzhansky

Download or read book Harmonic Analysis and Partial Differential Equations written by Michael Ruzhansky and published by Springer Nature. This book was released on 2023-03-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

On Elliptic Problems Involving Critical Hardy-Sobolev Exponents and Sign-changing Function

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Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On Elliptic Problems Involving Critical Hardy-Sobolev Exponents and Sign-changing Function by : Rodrigo da Silva Rodrigues

Download or read book On Elliptic Problems Involving Critical Hardy-Sobolev Exponents and Sign-changing Function written by Rodrigo da Silva Rodrigues and published by . This book was released on 2008 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Equations: Methods, Models and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764303983
Total Pages : 284 pages
Book Rating : 4.3/5 (39 download)

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Book Synopsis Nonlinear Equations: Methods, Models and Applications by : Daniela Lupo

Download or read book Nonlinear Equations: Methods, Models and Applications written by Daniela Lupo and published by Springer Science & Business Media. This book was released on 2003-09-25 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001. Classical topics of nonlinear analysis were considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacobi, Schrödinger and Navier-Stokes, and free boundary problems. Moreover, various models were focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms.

Djairo G. de Figueiredo - Selected Papers

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Publisher : Springer Science & Business Media
ISBN 13 : 3319028561
Total Pages : 733 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Djairo G. de Figueiredo - Selected Papers by : Djairo G. de Figueiredo

Download or read book Djairo G. de Figueiredo - Selected Papers written by Djairo G. de Figueiredo and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathematicians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to differential equations, de Figueiredo is known for his many monographs and books. Among others, this book offers a sample of the work of Djairo, as he is commonly addressed, advancing the study of superlinear elliptic problems (both scalar and system cases), including questions on critical Sobolev exponents and maximum principles for non-cooperative elliptic systems in Hamiltonian form.

Proceedings of the Conference on Differential & Difference Equations and Applications

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Publisher : Hindawi Publishing Corporation
ISBN 13 : 9789775945389
Total Pages : 1266 pages
Book Rating : 4.9/5 (453 download)

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Book Synopsis Proceedings of the Conference on Differential & Difference Equations and Applications by : Ravi P. Agarwal

Download or read book Proceedings of the Conference on Differential & Difference Equations and Applications written by Ravi P. Agarwal and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Differential Equations: Stationary Partial Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080557317
Total Pages : 618 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Differential Equations: Stationary Partial Differential Equations by : Michel Chipot

Download or read book Handbook of Differential Equations: Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2008-03-11 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. - Written by well-known experts in the field - Self contained volume in series covering one of the most rapid developing topics in mathematics - Informed and thoroughly updated for students, academics and researchers

Lebesgue and Sobolev Spaces with Variable Exponents

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Publisher : Springer Science & Business Media
ISBN 13 : 364218362X
Total Pages : 516 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Lebesgue and Sobolev Spaces with Variable Exponents by : Lars Diening

Download or read book Lebesgue and Sobolev Spaces with Variable Exponents written by Lars Diening and published by Springer Science & Business Media. This book was released on 2011-03-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

Weak Convergence Methods for Nonlinear Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807242
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Weak Convergence Methods for Nonlinear Partial Differential Equations by : Lawrence C. Evans

Download or read book Weak Convergence Methods for Nonlinear Partial Differential Equations written by Lawrence C. Evans and published by American Mathematical Soc.. This book was released on 1990 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Expository lectures from the the CBMS Regional Conference held at Loyola University of Chicago, June 27-July 1, 1988."--T.p. verso.

Topological Methods, Variational Methods And Their Applications - Proceedings Of The Icm2002 Satellite Conference On Nonlinear Functional Analysis

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Publisher : World Scientific
ISBN 13 : 9814486760
Total Pages : 300 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topological Methods, Variational Methods And Their Applications - Proceedings Of The Icm2002 Satellite Conference On Nonlinear Functional Analysis by : Haim Brezis

Download or read book Topological Methods, Variational Methods And Their Applications - Proceedings Of The Icm2002 Satellite Conference On Nonlinear Functional Analysis written by Haim Brezis and published by World Scientific. This book was released on 2003-03-13 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University.166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented their lectures. This conference aims at an overview of the recent development in nonlinear analysis. It covers the following topics: variational methods, topological methods, fixed point theory, bifurcations, nonlinear spectral theory, nonlinear Schrödinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics.

Topological Methods, Variational Methods and Their Applications

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Publisher : World Scientific
ISBN 13 : 9812382623
Total Pages : 302 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Topological Methods, Variational Methods and Their Applications by : Haim Br‚zis

Download or read book Topological Methods, Variational Methods and Their Applications written by Haim Br‚zis and published by World Scientific. This book was released on 2003 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 1418, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University. 166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented their lectures. This conference aims at an overview of the recent development in nonlinear analysis. It covers the following topics: variational methods, topological methods, fixed point theory, bifurcations, nonlinear spectral theory, nonlinear Schrvdinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics.

Extracta Mathematicae

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Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Extracta Mathematicae by :

Download or read book Extracta Mathematicae written by and published by . This book was released on 1997 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions to Nonlinear Elliptic Equations and Systems

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Publisher : Birkhäuser
ISBN 13 : 3319199021
Total Pages : 434 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Contributions to Nonlinear Elliptic Equations and Systems by : Alexandre N. Carvalho

Download or read book Contributions to Nonlinear Elliptic Equations and Systems written by Alexandre N. Carvalho and published by Birkhäuser. This book was released on 2015-11-14 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.

Nonlinear Problems with Lack of Compactness

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110648938
Total Pages : 191 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Nonlinear Problems with Lack of Compactness by : Giovanni Molica Bisci

Download or read book Nonlinear Problems with Lack of Compactness written by Giovanni Molica Bisci and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.

Multiple Solutions Of Boundary Value Problems: A Variational Approach

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Publisher : World Scientific
ISBN 13 : 9814696560
Total Pages : 290 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Multiple Solutions Of Boundary Value Problems: A Variational Approach by : John R Graef

Download or read book Multiple Solutions Of Boundary Value Problems: A Variational Approach written by John R Graef and published by World Scientific. This book was released on 2015-08-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.

Advances in Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Differential Equations by :

Download or read book Advances in Differential Equations written by and published by . This book was released on 2007 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods for Potential Operator Equations

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Publisher : Walter de Gruyter
ISBN 13 : 3110809370
Total Pages : 301 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Variational Methods for Potential Operator Equations by : Jan H. Chabrowski

Download or read book Variational Methods for Potential Operator Equations written by Jan H. Chabrowski and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.