An introduction to minimax theorems and their applications to differential equations

zbMath0987.58004MaRDI QIDQ5928743

Maria do Rosário Grossinho, Stepan Agop Tersian

Publication date: 3 April 2001

Published in: Nonconvex Optimization and Its Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionscritical point theoryAmbrosetti-Rabinowitz mountain pass theoremClarke's dual least action principledifferential equations with discontinuous nonlinearitiesHammerstein integral equationshomoclinic solutionslinking theoremslocally Lipschitz functionalsminimax theoremsRabinowitz saddle point theoremssemilinear Neumann boundary value problemssemilinear Schrödinger equations

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Optimality conditions for minimax problems (49K35) Research exposition (monographs, survey articles) pertaining to global analysis (58-02)

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