An introduction to nonlinear functional analysis and elliptic problems

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be ...

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Bibliographische Detailangaben
Hauptverfasser: Ambrosetti, Antonio, 1944-2020, Arcoya, David, mathématicien (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2011.
Schriftenreihe:Progress in Nonlinear Differential Equations and Their Applications 82
Schlagworte:
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Anmerkung: Description d'après consultation du 23 avril 2012
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Edition sous un autre format:• An introduction to nonlinear functional analysis and elliptic problems, Antonio Ambrosetti, David Arcoya, Boston, Birkhaüser, 2011, 1 vol. (XII-199 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-8113-5
Inhaltsangabe:
  • Notation Preliminaries Some Fixed Point Theorems Local and Global Inversion Theorems Leray-Schauder Topological Degree An Outline of Critical Points Bifurcation Theory Elliptic Problems and Functional Analysis Problems with A Priori Bounds Asymptotically Linear Problems Asymmetric Nonlinearities Superlinear Problems Quasilinear Problems Stationary States of Evolution Equations Appendix A Sobolev Spaces Exercises Index Bibliography