Multiplicity and limit of solutions for logarithmic Schrödinger equations on graphs

DOI10.1063/5.0179851MaRDI QIDQ6496397

Yun Yan Yang, Meng Qiu Shao, Liang Zhao

Publication date: 3 May 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

• Multiple solutions to logarithmic Schrödinger equations with periodic potential
• Kazdan-Warner equation on graph
• Multi-bump solutions for logarithmic Schrödinger equations
• Logarithmic nonlinearity in theories of quantum gravity: origin of time and observational consequences
• Yamabe type equations on graphs
• Mean field equation and relativistic Abelian Chern-Simons model on finite graphs
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• Convergence of ground state solutions for nonlinear Schrödinger equations on graphs
• A heat flow for the mean field equation on a finite graph
• \(p\)-Laplacian equations on locally finite graphs
• Multiple solutions for a generalized Chern-Simons equation on graphs
• Multiple solutions of Kazdan-Warner equation on graphs in the negative case
• Existence and convergence of solutions for nonlinear biharmonic equations on graphs
• Nonlinear Schrödinger equation with growing potential on infinite metric graphs
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• The existence and nonexistence of global solutions for a semilinear heat equation on graphs
• Ground state sign-changing solutions for elliptic equations with logarithmic nonlinearity
• Existence of ground state solutions to some nonlinear Schrödinger equations on lattice graphs
• Orbital stability of Gausson solutions to logarithmic Schr\"odinger equations
• Stable solutions of the logarithmic Schrödinger equation
• Kazdan-Warner equation on infinite graphs
• Multiple solutions for logarithmic Schrödinger equations
• Ground states for logarithmic Schrödinger equations on locally finite graphs
• Convergence of least energy sign-changing solutions for logarithmic Schrödinger equations on locally finite graphs
• Existence and multiplicity of solutions to \(p\)-Laplacian equations on graphs

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