Ground state solutions for Schrödinger problems with magnetic fields and Hardy-Sobolev critical exponents
type: Item
instance of: scholarly article
title: Ground state solutions for Schrödinger problems with magnetic fields and Hardy-Sobolev critical exponents
zbMATH Open document ID: 1404.35129
DOI: 10.1155/2018/2382717
author: Min Liu
author: Xiaorui Yue
published in: Journal of Function Spaces
publication date: 2018-09-06T00:00:00Z
review text: Summary: A Schrödinger equation and system with magnetic fields and Hardy-Sobolev critical exponents are investigated in this paper, and, under proper conditions, the existence of ground state solutions to these two problems is given.
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6933352
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: ground state solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2382717
OpenAlex ID: W2886842201
cites work: Q3480488
cites work: Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\)
cites work: Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
cites work: On the number of solutions of NLS equations with magnetics fields in expanding domains
cites work: Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields
cites work: Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
cites work: Multiple solutions to a magnetic nonlinear Choquard equation
cites work: Periodic and Bloch Solutions to a Magnetic Nonlinear Schrödinger Equation
cites work: Multiple solutions to a nonlinear Schrödinger equation with Aharonov-Bohm magnetic potential
cites work: Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
cites work: Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency
cites work: Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent
cites work: Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
cites work: Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field
cites work: A semilinear Schrödinger equation in the presence of a magnetic field
cites work: Multiple solutions to nonlinear Schrödinger equations with singular electromagnetic potential
cites work: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
cites work: On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem
cites work: Analysis.
cites work: Q5352181
cites work: Q3310242
cites work: Dual variational methods in critical point theory and applications
description: scientific article; zbMATH DE number 6933352