A min-max principle for non-differentiable functions with a weak compactness condition

DOI10.3934/CPAA.2009.8.1019zbMath1208.58014OpenAlexW1973570915MaRDI QIDQ1012850

Roberto Livrea, Salvatore A. Marano

Publication date: 23 April 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1019

zbMATH Keywords

critical pointsmountain pass geometrylocally Lipshitz continuous functionsweak Palais-Smale condition

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (5)

A generalized mountain pass lemma with a closed subset for locally Lipschitz functionals ⋮ Existence and subharmonicity of solutions for nonsmooth \(p\)-Laplacian systems ⋮ On the Ekeland-Ghoussoub-Preiss and Stuart criteria for locating Cerami sequences ⋮ On the structure of the critical set of non-differentiable functions with a weak compactness condition ⋮ Critical points of non-smooth functions with a weak compactness condition

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