Infinitely many solutions for a class of systems of differential inclusions

DOI10.1017/S001309150900073XzbMath1217.47107OpenAlexW2123132256MaRDI QIDQ3074725

Brigitte E. Breckner, Csaba Varga

Publication date: 10 February 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150900073x

zbMATH Keywords

Sobolev spaceslocally Lipschitz functiongeneralized directional derivativesystems of differential inclusions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60) Variational and other types of inclusions (47J22)

Related Items (1)

Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator

Cites Work

• Ordinary \(p\)-Laplacian systems with nonlinear boundary conditions
• Infinitely many solutions for ordinary \(p\)-Laplacian systems with nonlinear boundary conditions
• One-dimensional scalar field equations involving an oscillatory nonlinear term
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Some boundary value problems for Hartman-type perturbations of the ordinary vector \(p\)-Laplacian
• Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
• A general variational principle and some of its applications
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems

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