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.

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

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

Reviews
'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



Book Information
ISBN 9780521863209
Author Antonio Ambrosetti
Format Hardback
Page Count 328
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 653g
Dimensions(mm) 235mm * 158mm * 21mm