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An Introduction to Nonlinear Functional Analysis and Elliptic Problems

Gebonden Engels 2011 2011e druk 9780817681135
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Samenvatting

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases.

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.

Specificaties

ISBN13:9780817681135
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:199
Druk:2011

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Inhoudsopgave

<p>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.</p>

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€ 96,99
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        An Introduction to Nonlinear Functional Analysis and Elliptic Problems