Download e-book for iPad: An Introduction to Nonlinear Functional Analysis and by Antonio Ambrosetti,David Arcoya Álvarez

By Antonio Ambrosetti,David Arcoya Álvarez

ISBN-10: 0817681132

ISBN-13: 9780817681135

This self-contained textbook presents the fundamental, abstract tools used in nonlinear analysis and their functions to semilinear elliptic boundary price problems. By first outlining the benefits and downsides of every procedure, this entire text displays how various approaches can simply be applied to various version cases.An creation to Nonlinear useful research and Elliptic Problems is divided into elements: the 1st discusses key results reminiscent of the Banach contraction precept, a hard and fast aspect theorem for expanding operators, neighborhood and international inversion concept, Leray–Schauder measure, severe aspect concept, and bifurcation idea; the second one half indicates how those summary effects follow to Dirichlet elliptic boundary worth difficulties. The exposition is pushed via a number of prototype difficulties and exposes quite a few ways to solving them.Complete with a initial bankruptcy, an appendix that comes with extra effects on susceptible derivatives, and chapter-by-chapter routines, this publication is a practical textual content for an introductory path or seminar on nonlinear sensible analysis.

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An Introduction to Nonlinear Functional Analysis and Elliptic Problems: 82 (Progress in Nonlinear Differential Equations and Their Applications) by Antonio Ambrosetti,David Arcoya Álvarez


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