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Nonlinear Analysis and Semilinear Elliptic Problems
Hardback
Main Details
Title |
Nonlinear Analysis and Semilinear Elliptic Problems
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Authors and Contributors |
By (author) Antonio Ambrosetti
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By (author) Andrea Malchiodi
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Series | Cambridge Studies in Advanced Mathematics |
Physical Properties |
Format:Hardback | Pages:328 | Dimensions(mm): Height 235,Width 158 |
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Category/Genre | Calculus and mathematical analysis |
ISBN/Barcode |
9780521863209
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Classifications | Dewey:515.3533 |
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Audience | Professional & Vocational | |
Illustrations |
Worked examples or Exercises; 55 Line drawings, unspecified
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Publishing Details |
Publisher |
Cambridge University Press
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Imprint |
Cambridge University Press
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Publication Date |
4 January 2007 |
Publication Country |
United Kingdom
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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.
Author Biography
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
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