On homoclinic solutions of nonlinear Laplacian partial difference equations with a parameter

DOI10.3934/dcdss.2024005zbMath1544.39006MaRDI QIDQ6584841

Yuhua Long

Publication date: 8 August 2024

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

mountain pass theoremvariational methodpartial difference equationnontrivial homoclinic solution\((p, q)\)-Laplacian operator

Mathematics Subject Classification ID

Partial difference equations (39A14)

Cites Work

• Unnamed Item
• Homoclinic orbits for second order self-adjoint difference equations
• On boundary value problems for a discrete generalized Emden--Fowler equation
• A mountain pass theorem
• Existence of solutions for nonlinear \(p\)-Laplacian difference equations
• Homoclinic solutions of nonlinear Laplacian difference equations without Ambrosetti-Rabinowitz condition
• Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
• Existence of homoclinic solutions for a nonlinear fourth order \(p\)-Laplacian difference equation
• Heteroclinic solutions for a class of \(p\)-Laplacian difference equations with a parameter
• Homoclinic solutions for partial difference equations with mixed nonlinearities
• Multiple results on nontrivial solutions of discrete Kirchhoff type problems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Remarks on finding critical points
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Existence of solutions of nonlinear fourth order discrete boundary value problem
• Infinitely many large energy solutions to a class of nonlocal discrete elliptic boundary value problems
• Least energy sign-changing solutions for discrete Kirchhoff-type problems
• On sequences of homoclinic solutions for fractional discrete \(p\)-Laplacian equations
• Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with \(p\)-Laplacian

This page was built for publication: On homoclinic solutions of nonlinear Laplacian partial difference equations with a parameter