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Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems. This graduate text explains some of the key techniques in a way that will be appreciated by mathematicians, physicists and engineers. Starting from elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial differential equations. A series of Appendices give convenient accounts of a variety of advanced topics that will introduce the reader to areas of current research. The book is amply illustrated and many chapters are rounded off with a set of exercises.

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Book Details

ISBN: 9780521863209
ISBN-10: 0521863201
Format: Hardback
(228mm x 152mm x 21mm)
Pages: 328
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 4-Jan-2007
Country of Publication: United Kingdom


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Author Biography - Antonio Ambrosetti

Antonio Ambrosetti is a Professor at SISSA, Trieste. Andrea Malchiodi is an Associate Professor at SISSA, Trieste.

Books By Author Antonio Ambrosetti

Primer of Nonlinear Analysis by Antonio Ambrosetti

A Primer of Nonlinear Analysis

Paperback, March 1995