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The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple critical points for functionals invariant under a group of symmetries, perturbations from symmetry, and variational methods in bifurcation theory. The book requires some background in functional analysis and differential equations, especially elliptic partial differential equations. It is addressed to mathematicians interested in differential equations and/or nonlinear functional analysis, particularly critical point theory.
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James Brouillard
reviewed Minimax methods in critical point theory with applications to differential equations on September 18, 2013
Minimax methods in critical point theory with applications to differential equations
Mary had a little lamb.
She gave it castor oil.
And everywhere that Mary went,
It fertilized the soil.
I worked in a bookstore for about a year after university, while deciding where and how to embark on my career, and this book (and several like it) was one of the hidden treasures of the children's department, in a tiny section called "Children's Anthropology."
I finally got around to reading it cover to cover, and it was a lot of fun.
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