Existence of ground state solutions to some nonlinear Schrödinger equations on lattice graphs

DOI10.1007/s00526-023-02470-1OpenAlexW3192606579MaRDI QIDQ2695765

Wendi Xu, Bobo Hua

Publication date: 5 April 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00711

zbMATH Keywords

nonlinear Schrödinger equationsNehari methodground state solutions

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Partial difference equations (39A14) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs ⋮ Topological degree for Chern-Simons Higgs models on finite graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kazdan-Warner equation on graph
• Yamabe type equations on graphs
• Characteristic values associated with a class of nonlinear second-order differential equations
• Ground states of nonlinear Schrödinger equations with potentials
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Existence of solutions for semilinear elliptic equations with indefinite linear part
• On a class of nonlinear Schrödinger equations
• Existence of positive solutions to some nonlinear equations on locally finite graphs
• Convergence of ground state solutions for nonlinear Schrödinger equations on graphs
• On the existence of positive entire solutions of a semilinear elliptic equation
• Minimax theorems
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• The existence and nonexistence of global solutions for a semilinear heat equation on graphs
• On a Class of Nonlinear Second-Order Differential Equations
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• On the Ambrosetti-Rabinowitz Superlinear Condition
• A positive solution for a nonlinear Schroedinger equation on R^N
• Random Walks on Infinite Graphs and Groups
• Variational Methods

This page was built for publication: Existence of ground state solutions to some nonlinear Schrödinger equations on lattice graphs