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First published 2007

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ISBN-10 0-521-86320-1 hardback

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CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 104

EDITORIAL BOARD

B. BOLLOBAS, W. FULTON, A. KATOK, F. KIRWAN, P. SARNAK, B. SIMON, B. TOTARO

NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS

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 the elementary tools of bifurcation theory and analysis, the authors cover a number of...