Nonlinear analysis is a broad, interdisciplinary field
characterized by a remarkable mixture of analysis, topology, and
applications. Its concepts and techniques provide the tools for
developing more realistic and accurate models for a variety of
phenomena encountered in fields ranging from engineering and
chemistry to economics and biology.
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.
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