A Lyusternik-Schnirelman type theorem for locally Lipschitz functionals with applications to multivalued periodic problems

DOI10.3792/pjaa.71.164zbMath0853.58031OpenAlexW2113814468MaRDI QIDQ1917571

Vicenţiu D. Rădulescu

Publication date: 3 September 1996

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.164

zbMATH Keywords

critical point theorylocally Lipschitzian functionalsLyusternik-Schnirelmann theorem\(Z\)-periodic functiongeneralized gradient category

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (4)

Existence and multiplicity results for anisotropic double-phase differential inclusion with unbalanced growth and lack of compactness ⋮ Existence of solution for a class of indefinite variational problems with discontinuous nonlinearity ⋮ Infinitely many solutions for a non-homogeneous differential inclusion with lack of compactness ⋮ Homoclinic solutions for a differential inclusion system involving the \(p(t)\)-Laplacian

Cites Work

• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• Generalized gradients of Lipschitz functionals
• Mountain pass theorems for non-differentiable functions and applications
• Dual variational methods in critical point theory and applications
• Lusternik-Schnirelman theory on Banach manifolds
• Generalized Gradients and Applications
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