This book introduces the reader to powerful methods of critical
point theory and details successful contemporary approaches to many
problems, some of which had proved resistant to attack by older
methods. Topics covered include Morse theory, critical groups, the
minimax principle, various notions of linking, jumping
nonlinearities and the Fucik spectrum in an abstract setting,
sandwich pairs and the cohomological index. Applications to
semilinear elliptic boundary value problems, p-Laplacian problems
and anisotropic systems are given. Written for graduate students
and research scientists, the book includes numerous examples and
presents more recent developments in the subject to bring the
reader up to date with the latest research.
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