Many boundary value problems are equivalent to Au=O (1) where A : X ---+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional
0 and e E X such that lIell > rand inf
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Willem's book is devoted to minimax theorems and their applications to partial differential equations. Presenting basic minimax theorems in a simple and unified way, this book may serve as a textbook for advanced graduate students in partial differential equations.
"The material is presented in a unified way, and the proofs are concise and elegant... Essentially self-contained."
--Mathematical Reviews
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