An introduction to nonlinear functional analysis and elliptic problems / Antonio Ambrosetti, David Arcoya
Type de document : Livre numériqueCollection : Progress in nonlinear differential equations and their applications, 82Langue : anglais.Éditeur : Boston : Birkhäuser, cop. 2011ISBN: 9780817681135.ISSN: 1421-1750.Sujet MSC : 35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations46T20, Nonlinear functional analysis, Continuous and differentiable maps in nonlinear functional analysis
47J30, Operator theory, Variational methods involving nonlinear operators
35J20, PDEs - Elliptic equations and elliptic systems, Variational methods for second-order elliptic equations
35-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equationsEn-ligne : Springerlink | zbMath | MSN
This book provides some basic abstract tools used in modern nonlinear analysis in strong relationship with their applications to semilinear elliptic boundary value problems. The content of the book is divided into two parts, which contain 13 chapters. In the first part, key results are discussed such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray-Schauder degree, critical point theory, and bifurcation theory. The second part of this volume shows how these abstract results apply to Dirichlet elliptic boundary value problems. ... (zbMath)
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