Ground-state sign-changing homoclinic solutions for a discrete nonlinear \(p\)-Laplacian equation with logarithmic nonlinearity

DOI10.1186/s13661-023-01811-5arXiv2311.08777OpenAlexW4390507317MaRDI QIDQ6126931

Xin Ou, Xing-Yong Zhang

Publication date: 10 April 2024

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

Full work available at URL: https://arxiv.org/abs/2311.08777

zbMATH Keywords

logarithmic nonlinearitydiscrete \(p\)-Laplacian equationsground-state homoclinic solutionsground-state sign-changing homoclinic solutionsnon-Nehari manifold

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence of solutions for minimax problems (49J35) Quasilinear elliptic equations (35J62)

Cites Work

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• A Variation of the Mountain Pass Lemma and Applications
• The Poincare-Miranda Theorem
• Sign-changing ground state solutions for discrete nonlinear Schrödinger equations
• Least energy nodal solutions for Kirchhoff‐type Laplacian problems
• Methods in Nonlinear Analysis
• Ground states for logarithmic Schrödinger equations on locally finite graphs

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