Multiple positive solutions for a Schrödinger logarithmic equation

DOI10.3934/dcds.2020145zbMath1435.35028arXiv1901.10329OpenAlexW3010384744MaRDI QIDQ2306863

Chao Ji, Claudianor Oliveira Alves

Publication date: 26 March 2020

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

Full work available at URL: https://arxiv.org/abs/1901.10329

zbMATH Keywords

positive solutionsmultiple solutionsvariational methodlogarithmic Schrödinger equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (12)

Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system via penalization method ⋮ Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Nodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearity ⋮ Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category ⋮ Ground states for logarithmic Schrödinger equations on locally finite graphs ⋮ Fractional Schrödinger equations with logarithmic and critical nonlinearities ⋮ Singular equation with positive solution based on the perturbation of domains method ⋮ Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential ⋮ Least energy sign-changing solution for \(N\)-Laplacian problem with logarithmic and exponential nonlinearities ⋮ Concentration phenomena for nonlinear magnetic Schrödinger equations with critical growth ⋮ Multi-bump type nodal solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential

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