Multiple solutions to fourth-order elliptic problems with steep potential well

In this article, we are concerned with a class of fourth-order elliptic equations with sublinear perturbation and steep potential well. By using variational methods, we obtain that such equations admit at least two nontrivial solutions. We also explore the phenomenon of concentration of solutio...

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Main Authors:	Liu Yang, Liping Luo, Zhenguo Luo
Format:	Article
Language:	English
Published:	Texas State University 2015-05-01
Series:	Electronic Journal of Differential Equations
Subjects:	Fourth-order elliptic equations variational methods critical point concentration
Online Access:	http://ejde.math.txstate.edu/Volumes/2015/124/abstr.html

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record_format	Article
spelling	doaj-187e4d1f2b294f618e42c93800d013492020-11-25T00:13:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-05-012015124,113Multiple solutions to fourth-order elliptic problems with steep potential wellLiu Yang0Liping Luo1Zhenguo Luo2 Hengyang Normal Univ., Hunan, China Hengyang Normal Univ., Hunan, China Hengyang Normal Univ., Hunan, China In this article, we are concerned with a class of fourth-order elliptic equations with sublinear perturbation and steep potential well. By using variational methods, we obtain that such equations admit at least two nontrivial solutions. We also explore the phenomenon of concentration of solutions.http://ejde.math.txstate.edu/Volumes/2015/124/abstr.htmlFourth-order elliptic equationsvariational methodscritical pointconcentration
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Liu Yang Liping Luo Zhenguo Luo
spellingShingle	Liu Yang Liping Luo Zhenguo Luo Multiple solutions to fourth-order elliptic problems with steep potential well Electronic Journal of Differential Equations Fourth-order elliptic equations variational methods critical point concentration
author_facet	Liu Yang Liping Luo Zhenguo Luo
author_sort	Liu Yang
title	Multiple solutions to fourth-order elliptic problems with steep potential well
title_short	Multiple solutions to fourth-order elliptic problems with steep potential well
title_full	Multiple solutions to fourth-order elliptic problems with steep potential well
title_fullStr	Multiple solutions to fourth-order elliptic problems with steep potential well
title_full_unstemmed	Multiple solutions to fourth-order elliptic problems with steep potential well
title_sort	multiple solutions to fourth-order elliptic problems with steep potential well
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2015-05-01
description	In this article, we are concerned with a class of fourth-order elliptic equations with sublinear perturbation and steep potential well. By using variational methods, we obtain that such equations admit at least two nontrivial solutions. We also explore the phenomenon of concentration of solutions.
topic	Fourth-order elliptic equations variational methods critical point concentration
url	http://ejde.math.txstate.edu/Volumes/2015/124/abstr.html
work_keys_str_mv	AT liuyang multiplesolutionstofourthorderellipticproblemswithsteeppotentialwell AT lipingluo multiplesolutionstofourthorderellipticproblemswithsteeppotentialwell AT zhenguoluo multiplesolutionstofourthorderellipticproblemswithsteeppotentialwell
_version_	1725396572363030528

Multiple solutions to fourth-order elliptic problems with steep potential well

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