Ground state and mountain pass solutions for discrete \(p(\cdot)\)-Laplacian

DOI10.1186/1687-2770-2012-104zbMath1279.39003OpenAlexW2098256834WikidataQ59288255 ScholiaQ59288255MaRDI QIDQ384428

Petru Jebelean, Cristian Bereanu, Călin Şerban

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-104

zbMATH Keywords

mountain pass theoremPalais-Smale conditionvariational methodscritical pointdiscrete \(p(\cdot)\)-Laplacian operator

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace type equations ⋮ Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian ⋮ Periodic and Neumann problems for discrete \(p(\cdot )\)-Laplacian ⋮ Three solutions to discrete anisotropic problems with two parameters ⋮ Discrete Potential Boundary-Value Problems of Kirchhoff Type ⋮ Superlinear discrete problems ⋮ Two Positive Solutions for a Nonlinear Neumann Problem Involving the Discrete p-Laplacian ⋮ Homoclinic solutions for a class of nonlinear difference systems with classical \((\phi_{1}, \phi_{2})\)-Laplacian ⋮ Multiple periodic solutions to a discrete \(p^{(k)}\)-Laplacian problem ⋮ Multiplicity results for a \(p\)-Laplacian discrete problems of Kirchhoff type

Cites Work

• Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
• Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian
• On the discrete boundary value problem for anisotropic equation
• Ordinary \(p\)-Laplacian systems with nonlinear boundary conditions
• The existence of solutions for a second-order discrete Neumann problem with a \(p\)-Laplacian
• Multiple solutions for discrete boundary value problems
• Nonlinear second-order multivalued boundary value problems
• Dual variational methods in critical point theory and applications
• Periodic solutions of second order discrete convex systems involving the \(p\)-Laplacian
• Eigenvalue problems for anisotropic discrete boundary value problems

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