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Bound states for logarithmic Schrödinger equations with potentials unbounded below (Q2288089)

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Language	Label	Description	Also known as
English	Bound states for logarithmic Schrödinger equations with potentials unbounded below	scientific article

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scholarly article

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Bound states for logarithmic Schrödinger equations with potentials unbounded below (English)

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Chengxiang Zhang

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Calculus of Variations and Partial Differential Equations

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publication date

17 January 2020

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full work available at URL

https://arxiv.org/abs/1905.06687

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MaRDI profile type

MaRDI publication profile

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Existence and concentration of positive solutions for a Schrödinger logarithmic equation

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Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method

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Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential

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Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

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Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials

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Nonlinear Schrödinger equations with vanishing and decaying potentials.

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On a Discreteness Condition of the Spectrum of Schrodinger Operators with Unbounded Potential from Below

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Bound state solutions for a class of nonlinear Schrödinger equations

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Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

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Standing waves with a critical frequency for nonlinear Schrödinger equations

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Standing waves with a critical frequency for nonlinear Schrödinger equations. II.

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Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials

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Standing waves for nonlinear Schrödinger equations with singular potentials

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Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations

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Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below

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Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima

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Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods

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ON THE LOGARITHMIC SCHRÖDINGER EQUATION

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Semi-classical states for nonlinear Schrödinger equations

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Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

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Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Semi-classical states for logarithmic Schrödinger equations

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A logarithmic Schrödinger equation with asymptotic conditions on the potential

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

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On a class of nonlinear Schrödinger equations

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Schrödinger semigroups

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Multiple solutions to logarithmic Schrödinger equations with periodic potential

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Multi-bump solutions for logarithmic Schrödinger equations

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Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation

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A strong maximum principle for some quasilinear elliptic equations

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Compactness of Schrödinger semigroups with unbounded below potentials

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Convergence from power-law to logarithm-law in nonlinear scalar field equations

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On concentration of positive bound states of nonlinear Schrödinger equations

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On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions

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Minimax theorems

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Concentration of nodal solutions for logarithmic scalar field equations

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Identifiers

zbMATH Open document ID

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10.1007/s00526-019-1677-y

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2288089

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