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Author : Marcelo F. Furtado
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book Multiplicity of Solutions for Resonant Elliptic Systems written by Marcelo F. Furtado and published by . This book was released on 2004 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elves A. B. Silva
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (57 download)
Download or read book Multiplicity of Solutions for Quailinear Elliptic Systems with Critical Grouwth written by Elves A. B. Silva and published by . This book was released on 2004 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kung-Ching Chang
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Periodic Nonlinearity and the Multiplicity of Solutions written by Kung-Ching Chang and published by . This book was released on 1987 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document studies the multiplicity of solutions for semilinear elliptic systems as well as Hamiltonian systems, in which the nonlinear terms are periodic in certain variables. The cuplength for cohomology rings of the torus is used. Our results generalize and unify several recent works by Conley-Zehnder, Rabinowitz, Mawhin-Willem, Pucci-Serrin etc. In particular, the resonance problems and indefinite problems are studied. Keywords: Critical point, Neumann problem, Periodic solution.
Author : Djairo G. de Figueiredo
Publisher : Springer Science & Business Media
ISBN 13 : 3319028561
Total Pages : 733 pages
Book Rating : 4.3/5 (19 download)
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.
Author : Elves Alves de B. e Silva
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (633 download)
Download or read book Multiplicity of Solutions for Quasilinear Elliptic Systems with Critical Growth written by Elves Alves de B. e Silva and published by . This book was released on 2004 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lin Li
Publisher : World Scientific
ISBN 13 : 9813108622
Total Pages : 362 pages
Book Rating : 4.8/5 (131 download)
Download or read book Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach written by Lin Li and published by World Scientific. This book was released on 2016-04-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. 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 how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included.
Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464965315
Total Pages : 743 pages
Book Rating : 4.4/5 (649 download)
Download or read book Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Calculus, Mathematical Analysis, and Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Calculus, Mathematical Analysis, and Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author : Jaffar Ali
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (62 download)
Download or read book Multiple Positive Solutions for Classes of Elliptic Systems with Combined Nonlinear Effects written by Jaffar Ali and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We study positive solutions to nonlinear elliptic systems of the form: \begin{eqnarray*} -\Delta u =\lambda f(v) \mbox{ in }\Omega\\ -\Delta v =\lambda g(u) \mbox{ in }\Omega\\ \quad~~ u=0=v \mbox{ on }\partial\Omega \end{eqnarray*} where $ \Delta u $ is the Laplacian of $ u $, $ \lambda $ is a positive parameter and $ \Omega $ is a bounded domain in $ R^n $ with smooth boundary $ partial\Omega $. In particular, we will analyze the combined effects of the nonlinearities on the existence and multiplicity of positive solutions. We also study systems with multiparameters and stronger coupling. We extend our results to $ p $ - $ q $ -Laplacian systems and to $ n\times n $ systems. We mainly use sub- and super-solutions to prove our results.
Author : Eugenio Massa
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Existence for a Linear-superlinear Elliptic System with Neumann Boundary Conditions written by Eugenio Massa and published by . This book was released on 2004 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gershon Kresin
Publisher : American Mathematical Soc.
ISBN 13 : 0821889818
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)
Download or read book Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems written by Gershon Kresin and published by American Mathematical Soc.. This book was released on 2012-08-15 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.
Author : Djairo Guedes de Figueiredo
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)
Download or read book Periodic Hamiltonean Elliptic Systems in Unbounded Domains written by Djairo Guedes de Figueiredo and published by . This book was released on 2004 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Djairo G de Figueiredo
Publisher : Springer
ISBN 13 : 3319042149
Total Pages : 465 pages
Book Rating : 4.3/5 (19 download)
Download or read book Analysis and Topology in Nonlinear Differential Equations written by Djairo G de Figueiredo and published by Springer. This book was released on 2014-06-16 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.
Author : Djairo Guedes de Figueiredo
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Strongly Indefinite Functionals and Multiple Solutions of Elliptic Systems written by Djairo Guedes de Figueiredo and published by . This book was released on 2001 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Schechter
Publisher : Springer Nature
ISBN 13 : 303045603X
Total Pages : 347 pages
Book Rating : 4.0/5 (34 download)
Download or read book Critical Point Theory written by Martin Schechter and published by Springer Nature. This book was released on 2020-05-30 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.
Author : Philip Korman
Publisher : World Scientific
ISBN 13 : 9814374350
Total Pages : 254 pages
Book Rating : 4.8/5 (143 download)
Download or read book Global Solution Curves for Semilinear Elliptic Equations written by Philip Korman and published by World Scientific. This book was released on 2012 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.
Author :
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (924 download)
Download or read book Multiplicity of Solutions of Nonlinear Elliptic Equations with Z/2-symmetry written by and published by . This book was released on 2001 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francisco O. V. de Paiva
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)
Download or read book Multiple Solutions for Some Elliptic Equations with a Nonlinearity Concave in the Origin written by Francisco O. V. de Paiva and published by . This book was released on 2004 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
