Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth
type: Item
instance of: scholarly article
title: Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth
zbMATH Open document ID: 1410.35194
DOI: 10.1063/1.5039627
author: Giovany M. Figueiredo
author: Claudianor O. Alves
published in: Journal of Mathematical Physics
publication date: 2019-02-11T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7020294
zbMATH Keywords: Nehari manifold
zbMATH Keywords: Schrödinger-Poisson system
zbMATH Keywords: minimization technique
Wikidata QID: Q115553630
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1063/1.5039627
OpenAlex ID: W2910892919
cites work: On a periodic Schrödinger equation with nonlocal superlinear part
cites work: On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth
cites work: Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
cites work: Ground state solutions for the nonlinear Schrödinger-Maxwell equations
cites work: The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate
cites work: Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
cites work: Positive solutions for some non-autonomous Schrödinger-Poisson systems
cites work: Multiple solutions to a magnetic nonlinear Choquard equation
cites work: On the planar Schrödinger-Poisson system
cites work: Q3378690
cites work: Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
cites work: Q4826007
cites work: Q4547972
cites work: On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
cites work: Ground states and high energy solutions of the planar Schrödinger–Poisson system
cites work: Solutions of Hartree-Fock equations for Coulomb systems
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
cites work: On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: Classification of positive solitary solutions of the nonlinear Choquard equation
cites work: Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
cites work: Positive solutions for Schrödinger-Poisson equations with a critical exponent
description: scientific article; zbMATH DE number 7020294