Multiple solutions for logarithmic Schrödinger equations

DOI10.1088/1361-6544/ab08f4zbMath1418.35102OpenAlexW2944215216MaRDI QIDQ5742479

Wei Shuai

Publication date: 14 May 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab08f4

zbMATH Keywords

positive solutionssign-changing solutionsnodal solutionslogarithmic Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Cites Work

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• Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation
• Multiple solutions to logarithmic Schrödinger equations with periodic potential
• Multi-bump solutions for logarithmic Schrödinger equations
• Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
• Characteristic values associated with a class of nonlinear second-order differential equations
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Global \(H^1\) solvability of the 3D logarithmic Schrödinger equation
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Existence of solitary waves in higher dimensions
• A sign-changing solution for a superlinear Dirichlet problem
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Universal dynamics for the defocusing logarithmic Schrödinger equation
• Nodal standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb{R}^2\)
• Superexponential growth or decay in the heat equation with a logarithmic nonlinearity
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Minimax theorems
• A strong maximum principle for some quasilinear elliptic equations
• Erratum to: ``Multiple solutions to logarithmic Schrödinger equations with periodic potential
• Boundary value problems for a class of nonlinear differential equations
• On the orbital stability of Gaussian solitary waves in the log-KdV equation
• Orbital stability of Gausson solutions to logarithmic Schr\"odinger equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• Stable solutions of the logarithmic Schrödinger equation
• Équations d'évolution avec non linéarité logarithmique
• ON THE LOGARITHMIC SCHRÖDINGER EQUATION
• A logarithmic Schrödinger equation with asymptotic conditions on the potential

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