Download PDF by Antonio Ambrosetti,David Arcoya Álvarez: An Introduction to Nonlinear Functional Analysis and

By Antonio Ambrosetti,David Arcoya Álvarez

ISBN-10: 0817681132

ISBN-13: 9780817681135

This self-contained textbook presents the elemental, abstract tools used in nonlinear analysis and their functions to semilinear elliptic boundary worth problems. By first outlining the benefits and downsides of every technique, this accomplished text displays how various approaches can simply be applied to a number version cases.An advent to Nonlinear useful research and Elliptic Problems is divided into components: the 1st discusses key results akin to the Banach contraction precept, a set aspect theorem for expanding operators, neighborhood and worldwide inversion conception, Leray–Schauder measure, serious element conception, and bifurcation idea; the second one half exhibits how those summary effects observe to Dirichlet elliptic boundary worth difficulties. The exposition is pushed via a variety of prototype difficulties and exposes numerous ways to solving them.Complete with a initial bankruptcy, an appendix that comes with extra effects on vulnerable derivatives, and chapter-by-chapter routines, this ebook is a practical textual content for an introductory path or seminar on nonlinear practical 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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