An Introduction to Nonlinear Functional Analysis and Elliptic Problems: 82 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover

Ambrosetti, Antonio; Arcoya Álvarez, David

Hardcover

ISBN 10: 0817681132 ISBN 13: 9780817681135

Verlag: Birkhäuser, 2011

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.

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Über die Autorin bzw. den Autor

Both authors are leading experts in this area of mathematics. Antonio Ambrosetti has been at the very forefront of research in this field for forty years, and several of the major topics from Parts 1 and 2 of the book are drawn from his research.

Von der hinteren Coverseite

<p>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 applied to a range of model cases.</p><p><i>An Introduction to Nonlinear Functional Analysis and Elliptic Problems</i> is divided into two parts: the first discusses key results 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 shows how these abstract results apply to Dirichlet elliptic boundary value problems.  The exposition is driven by numerous prototype problems and exposes a variety of approaches to solving them.</p><p>Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.</p>

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2011
• Sprache: Englisch
• ISBN 10: 0817681132
• ISBN 13: 9780817681135
• Einband: Tapa dura
• Anzahl der Seiten: 212
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar