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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 more
modern topics including critical point theory and elliptic partial differential equations.
A series of appendices gives convenient accounts of a variety of advanced topics that
will introduce the reader to areas of current research. The book is amply illustrated and
many chapters are rounded off with a set of exercises.

Nonlinear Analysis and Semilinear Elliptic Problems