Critical planar Schrödinger-Poisson equations: existence, multiplicity and concentration
type: Item
instance of: scholarly article
title: Critical planar Schrödinger-Poisson equations: existence, multiplicity and concentration
zbMATH Open document ID: 1546.35076
author: Yiqing Li
author: Vicenţiu D. Rădulescu
author: Binlin Zhang
published in: Mathematische Zeitschrift
publication date: 2024-06-27T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7872215
zbMATH Keywords: Schrödinger-Poisson equation
zbMATH Keywords: critical exponential growth
zbMATH Keywords: existence of ground states
MaRDI profile type: Publication
cites work: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
cites work: Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: Semiclassical states of nonlinear Schrödinger equations
cites work: Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\)
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: Existence and symmetry of solutions to 2-D Schrödinger-Newton equations
cites work: Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
cites work: On the planar Schrödinger-Poisson system with the axially symmetric potential
cites work: Existence and concentration of ground state solutions for a critical Kirchhoff type equation in \(\mathbb{R}^2\).
cites work: Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
cites work: Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations
cites work: On the planar Schrödinger-Poisson system
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Ground states and high energy solutions of the planar Schrödinger–Poisson system
cites work: Q5609951
cites work: Q4040640
cites work: Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
cites work: Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth
cites work: Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
cites work: From atoms to crystals: a mathematical journey
cites work: Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations
cites work: On multi-bump solutions of nonlinear Schrödinger equation with electromagnetic fields and critical nonlinearity in \(\mathbb {R}^N\)
cites work: Analysis.
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: Solutions of Hartree-Fock equations for Coulomb systems
cites work: Another look at planar Schrödinger-Newton systems
cites work: Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Semi-classical states for the Choquard equation
cites work: Q5603485
cites work: On gravity's role in quantum state reduction
cites work: Bifurcation and regularity of entire solutions for the planar nonlinear Schrödinger-Poisson system
cites work: On a class of nonlinear Schrödinger equations
cites work: Planar Schrödinger-Choquard equations with potentials vanishing at infinity: the critical case
cites work: Q5607484
cites work: Minimax theorems
cites work: Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation
cites work: Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
DOI: 10.1007/S00209-024-03520-W
description: scientific article; zbMATH DE number 7872215