Solutions and multiple solutions for problems with the \(p\)-Laplacian

DOI10.1007/S00605-006-0432-6zbMath1125.35028OpenAlexW1997639602MaRDI QIDQ2385072

Nikolaos S. Papageorgiou, Shouchuan Hu

Publication date: 11 October 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0432-6

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator ⋮ The existence of radial solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ Multiple solutions for inequality Dirichlet problems by the \(p(x)\)-Laplacian ⋮ Periodic solutions for a differential inclusion problem involving the \(p(t)\)-Laplacian ⋮ Homoclinic solutions for a differential inclusion system involving the \(p(t)\)-Laplacian ⋮ Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential ⋮ Multiplicity for nonlinear elliptic boundary value problems of \(p\)-Laplacian type without Ambrosetti-Rabinowitz condition

Cites Work

• Unnamed Item
• Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
• On the Morse indices of sign changing solutions of nonlinear elliptic problems
• Linking and existence results for perturbations of the \(p\)-Laplacian
• A local bifurcation theorem for degenerate elliptic equations with radial symmetry
• Existence of solutions for the \(p\)-Laplacian with crossing nonlinearity.
• A strong maximum principle for some quasilinear elliptic equations
• Two nontrivial critical points for nonsmooth functionals via local linking and applications
• Boundary regularity for solutions of degenerate elliptic equations
• Remarks on finding critical points
• Existence results for perturbations of the p-Laplacian
• SOME REMARKS ON CRITICAL POINT THEORY FOR LOCALLY LIPSCHITZ FUNCTIONS Work performed under the auspices of G.N.A.M.P.A. of I.N.D.A.M. and partially supported by M.I.U.R. of Italy, 2001.
• Nontrivial solutions for perturbed p–Laplacian on R^N
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian

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