Ground state solution for the logarithmic Schrödinger-Poisson system with critical growth
type: Item
instance of: scholarly article
title: Ground state solution for the logarithmic Schrödinger-Poisson system with critical growth
author: Yaqing Cai
author: Yulin Zhao
published in: Qualitative Theory of Dynamical Systems
publication date: 2024-11-27T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35R01
zbMATH DE Number: 7950022
zbMATH Keywords: logarithmic dispersive estimates for Maxwell's equations in the exterior of a sphere system
zbMATH Keywords: ground state solution
zbMATH Keywords: Nehari manifold
zbMATH Keywords: variational methods
zbMATH Keywords: critical growth
MaRDI profile type: Publication
cites work: An eigenvalue problem for the Schrödinger-Maxwell equations
cites work: SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
cites work: Q4023822
cites work: The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
cites work: Thomas-fermi and related theories of atoms and molecules
cites work: Positive solutions for the Schrödinger–Poisson system with steep potential well
cites work: On quasi-linear Schrödinger-Poisson systems
cites work: Positive solutions for some non-autonomous Schrödinger-Poisson systems
cites work: Q5060740
cites work: On Schrödinger–Poisson systems under the effect of steep potential well (2 &lt; p &lt; 4)
cites work: The number of positive solutions for Schrödinger–Poisson system under the effect of eigenvalue
cites work: Existence and asymptotic behaviour of solutions for a quasilinear Schrödinger-Poisson system in \(\mathbb{R}^3\)
cites work: Ground state solution for Schrödinger-KdV system with periodic potential
cites work: Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity
cites work: On a quasilinear Schrödinger-Poisson system
cites work: Multiplicity and concentration of solutions for a fractional Schrödinger–Poisson system with sign-changing potential
cites work: Positive and sign-changing solutions for critical Schrödinger-Poisson systems with sign-changing potential
cites work: Existence and nonexistence of solutions for Schrödinger-Poisson problems
cites work: Existence and nonexistence of nontrivial solutions for the Schrödinger-Poisson system with zero mass potential
cites work: Ground state solutions for the nonlinear Schrödinger-Maxwell equations
cites work: Existence and multiplicity results for some Schrödinger-Poisson system with critical growth
cites work: Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger-Poisson system with a critical nonlinearity
cites work: Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well
cites work: An infinite sequence of localized semiclassical states for nonlinear Maxwell-Dirac system
cites work: Standing waves for nonlinear Schrödinger equations involving critical growth
cites work: Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
cites work: Localized nodal solutions for a critical nonlinear Schrödinger equation
cites work: Normalized solutions for the nonlinear Schrödinger equation with potential and combined nonlinearities
cites work: Least energy sign-changing solutions of Kirchhoff-type equation with critical growth
cites work: Logarithmic nonlinearity in theories of quantum gravity: origin of time and observational consequences
cites work: Universal dynamics for the defocusing logarithmic Schrödinger equation
cites work: ON THE LOGARITHMIC SCHRÖDINGER EQUATION
cites work: Multi-bump solutions for logarithmic Schrödinger equations
cites work: Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities
cites work: Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system with steep potential
cites work: Existence and asymptotic behavior of positive solutions to some logarithmic Schrödinger-Poisson system
cites work: Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
cites work: Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth
cites work: Q3997570
cites work: Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
cites work: Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
cites work: Minimax theorems
DOI: 10.1007/S12346-024-01174-X
description: scientific article; zbMATH DE number 7950022