Variational methods for ordinary \(p\)-Laplacian systems with potential boundary conditions

zbMath1177.34021MaRDI QIDQ955892

Petru Jebelean

Publication date: 24 November 2008

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremsnon-smooth critical point theory\(p\)-Laplacian systems

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Nonlinear ordinary differential operators (34L30)

Related Items (9)

Poincaré inequalities in reflexive cones ⋮ Periodic solutions for discontinuous perturbations of the relativistic operator ⋮ Radial solutions of Neumann problem for periodic perturbations of the mean extrinsic curvature operator ⋮ Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian ⋮ A vector p-Laplacian type approach to multiple periodic solutions for the p-relativistic operator ⋮ Periodic solutions for systems with \(p\)-relativistic operator and unbounded discontinuous nonlinearities ⋮ Variational methods for nonlinear perturbations of singular \(\varphi \)-Laplacians ⋮ A variational method for multivalued boundary value problems ⋮ Boundary value problems for discontinuous perturbations of singular \(\phi\)-Laplacian operator

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