Minimax Theorems (Progress in Nonlinear Differential Equations and Their Applications)
Michel Willem
Synopsis "Minimax Theorems (Progress in Nonlinear Differential Equations and Their Applications) "
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 functionalA = AmpliarMany 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 functionalA = solution u of (2) and the value ofimplies the exis tence of a sequence (un) such that Such a sequence is called a Palais-Smale sequence at level C. The functionalsubsequence. If0 and eE X such that lIell > rand inf