This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles.
The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.
984 pages; ISBN 9781420035049
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Title: Nonlinear Analysis
Author: Leszek Gasinski; Nikolaos S. Papageorgiou
IB Mathematical Studies Standard 2012 US$ 58.40 624 pages
IB Mathematics Standard Level 2012 US$ 64.80 805 pages