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Nonlinear Analysis and Semilinear Elliptic Problems

Antonio Ambrosetti author Andrea Malchiodi author

Format:Hardback

Publisher:Cambridge University Press

Published:4th Jan '07

Currently unavailable, and unfortunately no date known when it will be back

Nonlinear Analysis and Semilinear Elliptic Problems cover

Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.

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 analysis. Even researchers working in this field might find some interesting material (at least the reviewer did).' Zentralblatt MATH

ISBN: 9780521863209

Dimensions: 235mm x 158mm x 21mm

Weight: 653g

328 pages