Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents

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.

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Bibliographic Details
Main Authors: Min Liu, Xiaorui Yue
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/2382717
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author Min Liu
Xiaorui Yue
author_facet Min Liu
Xiaorui Yue
author_sort Min Liu
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-b9c8391e49684b5dbfb1b5e0c4202f202025-02-03T01:11:00ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/23827172382717Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical ExponentsMin Liu0Xiaorui Yue1School of Sciences, Liaoning Shihua University, Fushun 113001, ChinaCollege of Information Science & Technology, Hainan University, Haikou 570228, ChinaA 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.http://dx.doi.org/10.1155/2018/2382717
spellingShingle Min Liu
Xiaorui Yue
Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
Journal of Function Spaces
title Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
title_full Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
title_fullStr Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
title_full_unstemmed Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
title_short Ground State Solutions for Schrödinger Problems with Magnetic Fields and Hardy-Sobolev Critical Exponents
title_sort ground state solutions for schrodinger problems with magnetic fields and hardy sobolev critical exponents
url http://dx.doi.org/10.1155/2018/2382717
work_keys_str_mv AT minliu groundstatesolutionsforschrodingerproblemswithmagneticfieldsandhardysobolevcriticalexponents
AT xiaoruiyue groundstatesolutionsforschrodingerproblemswithmagneticfieldsandhardysobolevcriticalexponents