On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients

DOI10.1155/2010/195376zbMath1207.39004OpenAlexW2114358191WikidataQ59252732 ScholiaQ59252732MaRDI QIDQ623584

Alberto Cabada, Chengyue Li, Stepan Agop Tersian

Publication date: 8 February 2011

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

Full work available at URL: https://eudml.org/doc/232594

zbMATH Keywords

mountain pass theoremhomoclinic solutionsperiodic coefficientssemilinear \(p\)-Laplacian difference equations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods ⋮ Weak heteroclinic solutions and competition phenomena to anisotropic difference equations with variable exponents ⋮ Homoclinic solutions of nonlinear Laplacian difference equations without Ambrosetti-Rabinowitz condition ⋮ Multiple homoclinic solutions for the discrete \(p\)-Laplacian via critical point theory ⋮ Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents ⋮ Existence of homoclinic solutions for difference equations on integers via variational method ⋮ Existence of solutions for nonlinear \(p\)-Laplacian difference equations ⋮ Homoclinic orbits for second order nonlinear \(p\)-Laplacian difference equations ⋮ A note on homoclinic solutions of (p,q)-Laplacian difference equations ⋮ STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Existence of homoclinic solutions for the discrete \(p(k)\)-Laplacian operator

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