Overall the book presents a unified approach and is an excellent contribution to nonlinear analysis claudio h morales mathematical reviews issue 2007 b this well written monograph gives an excellent introduction to the fundamental methods of nonlinear analysis and its application to ordinary and partial differential equations . The monograph systematically treats the analysis of nonlinear boundary value problems illustrates the power of sobolev spaces in nonlinear analysis develops methods that can be extended to other classes of nonlinear problems and creates a bridge between several research fields. Nonlinear analysis is a quite young area in mathematical sciences and it has grown tremendously in the last thirty years in addition all methods discussed in this book are illustrated by carefully chosen examples from applied mathematics physics engineering and geometry . Part of the springer monographs in mathematics book series providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators the authors give a systematic treatment of the basic mathematical theory and constructive methods . Nonlinear analysis has developed rapidly in the last three decades theories techniques and results in many different branches of mathematics have been combined in solving nonlinear problems this bo
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