Bifurcation and Multiplicity Results for Nonlinear Elliptic Problems Involving Critical Sobolev Exponents

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ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (297 download)

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Book Synopsis Bifurcation and Multiplicity Results for Nonlinear Elliptic Problems Involving Critical Sobolev Exponents by : Giovanna Cerami

Download or read book Bifurcation and Multiplicity Results for Nonlinear Elliptic Problems Involving Critical Sobolev Exponents written by Giovanna Cerami and published by . This book was released on 1984 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper deals with the problem of existence of nontrivial solutions for a nonlinear elliptic boundary value problem in which the nonlinear term involves the critical Sobolev exponent, which is associated with a loss of compactness. The motivation for investigating this type of problem comes from the fact that mathematical models of some interesting problems in geometry (Yamabe's problem) and in physics (existence of nonminimal solutions for Yang-Mills functionals) have this character and involve a lack of compactness. Variational arguments are used here to prove some bifurcation and multiplicity results for these problems.

Singularly Perturbed Methods for Nonlinear Elliptic Problems

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Publisher : Cambridge University Press
ISBN 13 : 1108836836
Total Pages : 263 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Singularly Perturbed Methods for Nonlinear Elliptic Problems by : Daomin Cao

Download or read book Singularly Perturbed Methods for Nonlinear Elliptic Problems written by Daomin Cao and published by Cambridge University Press. This book was released on 2021-02-18 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.

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:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 1278 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1984 with total page 1278 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.

Nonlinear Functional Analysis and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9400946325
Total Pages : 408 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Nonlinear Functional Analysis and Its Applications by : S.P. Singh

Download or read book Nonlinear Functional Analysis and Its Applications written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.

Variational Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662041944
Total Pages : 292 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Variational Methods by : Michael Struwe

Download or read book Variational Methods written by Michael Struwe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilberts talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateaus problem by Douglas and Rad. This third edition gives a concise introduction to variational methods and presents an overview of areas of current research in the field, plus a survey on new developments.

Topics in Mathematical Analysis

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Publisher : World Scientific
ISBN 13 : 9812811052
Total Pages : 460 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Topics in Mathematical Analysis by : Paolo Ciatti

Download or read book Topics in Mathematical Analysis written by Paolo Ciatti and published by World Scientific. This book was released on 2008 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts."--BOOK JACKET.

Nonlinear Functional Analysis and Its Applications, Part 1

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814710
Total Pages : 556 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Functional Analysis and Its Applications, Part 1 by : Felix E. Browder

Download or read book Nonlinear Functional Analysis and Its Applications, Part 1 written by Felix E. Browder and published by American Mathematical Soc.. This book was released on 1986 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Directions in Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 1483269248
Total Pages : 259 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Directions in Partial Differential Equations by : Michael G. Crandall

Download or read book Directions in Partial Differential Equations written by Michael G. Crandall and published by Academic Press. This book was released on 2014-05-10 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Directions in Partial Differential Equations covers the proceedings of the 1985 Symposium by the same title, conducted by the Mathematics Research Center, held at the University of Wisconsin, Madison. This book is composed of 13 chapters and begins with reviews of the calculus of variations and differential geometry. The subsequent chapters deal with the study of development of singularities, regularity theory, hydrodynamics, mathematical physics, asymptotic behavior, and critical point theory. Other chapters discuss the use of probabilistic methods, the modern theory of Hamilton-Jacobi equations, the interaction between theory and numerical methods for partial differential equations. The remaining chapters explore attempts to understand oscillatory phenomena in solutions of nonlinear equations. This book will be of great value to mathematicians and engineers.

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.

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.

Fifth International Congress of Chinese Mathematicians

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Publisher : American Mathematical Soc.
ISBN 13 : 0821875876
Total Pages : 522 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fifth International Congress of Chinese Mathematicians by : Lizhen Ji

Download or read book Fifth International Congress of Chinese Mathematicians written by Lizhen Ji and published by American Mathematical Soc.. This book was released on 2012 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.

Calculus of Variations and Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540648031
Total Pages : 364 pages
Book Rating : 4.6/5 (48 download)

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Book Synopsis Calculus of Variations and Partial Differential Equations by : Luigi Ambrosio

Download or read book Calculus of Variations and Partial Differential Equations written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2000-01-24 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

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.

Variational Methods for Nonlocal Fractional Problems

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Publisher : Cambridge University Press
ISBN 13 : 1107111943
Total Pages : 401 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Variational Methods for Nonlocal Fractional Problems by : Giovanni Molica Bisci

Download or read book Variational Methods for Nonlocal Fractional Problems written by Giovanni Molica Bisci and published by Cambridge University Press. This book was released on 2016-03-11 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

Variational Methods in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642826989
Total Pages : 419 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Variational Methods in Mathematical Physics by : Philippe Blanchard

Download or read book Variational Methods in Mathematical Physics written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal culus of variations in applied mathematics and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990).