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  3. Nonlinear Analysis and Semilinear Elliptic Problems
  • Cited by 198
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
2007
Online ISBN:
9780511618260
DOI:
https://doi.org/10.1017/CBO9780511618260
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Modeling and Methods
Series:
Cambridge Studies in Advanced Mathematics (104)
Information

Book description

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.

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).'

Source: Zentralblatt MATH

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