Variational methods are very powerful techniques in nonlinear
analysis and are extensively used in many disciplines of pure and
applied mathematics (including ordinary and partial differential
equations, mathematical physics, gauge theory, and geometrical
analysis).In our first chapter, we gather the basic notions and
fundamental theorems that will be applied throughout the chapters.
While many of these items are easily available in the literature,
we gather them here both for the convenience of the reader and for
the purpose of making this volume somewhat self-contained.
Subsequent chapters deal with how variational methods can be used
in fourth-order problems, Kirchhoff problems, nonlinear field
problems, gradient systems, and variable exponent problems. A very
extensive bibliography is also included.
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