Bound states for logarithmic Schrödinger equations with potentials unbounded below

DOI10.1007/s00526-019-1677-yzbMath1433.35374arXiv1905.06687OpenAlexW2997915550WikidataQ126407332 ScholiaQ126407332MaRDI QIDQ2288089

Chengxiang Zhang, Xu Zhang

Publication date: 17 January 2020

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

Full work available at URL: https://arxiv.org/abs/1905.06687

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (13)

Logarithmic Schrödinger equations in infinite dimensions ⋮ Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Multi-peak solutions for logarithmic Schrödinger equations with potentials unbounded below ⋮ Ground states for logarithmic Schrödinger equations on locally finite graphs ⋮ Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation ⋮ Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential ⋮ Fractional Schrödinger equations with logarithmic and critical nonlinearities ⋮ Multi-bump type nodal solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method ⋮ Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality ⋮ Qualitative analysis on logarithmic Schrödinger equation with general potential ⋮ Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential ⋮ A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations

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