Nonlinear Analysis and Semilinear Elliptic Problems by Antonio Ambrosetti

Nonlinear Analysis and Semilinear Elliptic Problems by Antonio Ambrosetti

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Summary

A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.

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Nonlinear Analysis and Semilinear Elliptic Problems by Antonio Ambrosetti

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.
'In the reviewer's opinion, this book can serve very well as a textbook in topological and variational methods in nonlinear analysisEven researchers working in this field might find some interesting material (at least the reviewer did).' Zentralblatt MATH
Antonio Ambrosetti is a Professor at SISSA, Trieste. Andrea Malchiodi is an Associate Professor at SISSA, Trieste.
SKU Unavailable
ISBN 13 9780521863209
ISBN 10 0521863201
Title Nonlinear Analysis and Semilinear Elliptic Problems
Author Antonio Ambrosetti
Series Cambridge Studies In Advanced Mathematics
Condition Unavailable
Publisher Cambridge University Press
Year published 2007-01-04
Number of pages 328
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.