A weak nonsmooth Palais-Smale condition and coercivity

DOI10.1007/BF02904262zbMath1225.49021OpenAlexW1965942634MaRDI QIDQ2569827

Nikolaos S. Papageorgiou, Nikolaos C. Kourogenis

Publication date: 20 October 2005

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02904262

zbMATH Keywords

Palais-Smale conditionEkeland variational principlenonsmooth Palais-Smale conditionlocally Lipschitz functionClarke's subdifferentialcoercive functionnonsmooth \(C\)-condition

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (5)

Some properties of general minimization problems with constraints ⋮ Origin and evolution of the Palais-Smale condition in critical point theory ⋮ Critical points theorems via the generalized Ekeland variational principle and its application to equations of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\) ⋮ Note on a general Palais-Smale condition ⋮ Two nontrivial critical points for nonsmooth functionals via local linking and applications

Cites Work

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• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• A note on Palais-Smale condition and coercivity
• On Ekeland's variational principle and a minimax theorem
• The palais-smale condition versus coercivity
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Optimization and nonsmooth analysis

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