Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential

Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential

In this article, we study a Kirchhoff-type equation with sign-changing potential on an infinite domain. Using Morse theory and variational methods, we show the existence of two and of infinitely many nontrivial solutions.

Bibliographic Details
Main Authors: Hongliang Liu, Haibo Chen
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Multiple solutions
Kirchhoff-type equation
sign-changing potential
Morse theory
variational methods
Online Access:http://ejde.math.txstate.edu/Volumes/2015/274/abstr.html
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spelling doaj-fd752e43824d47b7aec9dee02f043eec2020-11-25T02:16:53ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-10-012015274,19Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potentialHongliang Liu0Haibo Chen1 Central South Univ., Changsha, Hunan, China Central South Univ., Changsha, Hunan, China In this article, we study a Kirchhoff-type equation with sign-changing potential on an infinite domain. Using Morse theory and variational methods, we show the existence of two and of infinitely many nontrivial solutions.http://ejde.math.txstate.edu/Volumes/2015/274/abstr.htmlMultiple solutionsKirchhoff-type equationsign-changing potentialMorse theoryvariational methods
collection DOAJ
language English
format Article
sources DOAJ
author Hongliang Liu
Haibo Chen
spellingShingle Hongliang Liu
Haibo Chen
Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
Electronic Journal of Differential Equations
Multiple solutions
Kirchhoff-type equation
sign-changing potential
Morse theory
variational methods
author_facet Hongliang Liu
Haibo Chen
author_sort Hongliang Liu
title Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
title_short Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
title_full Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
title_fullStr Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
title_full_unstemmed Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
title_sort multiple solutions for an indefinite kirchhoff-type equation with sign-changing potential
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2015-10-01
description In this article, we study a Kirchhoff-type equation with sign-changing potential on an infinite domain. Using Morse theory and variational methods, we show the existence of two and of infinitely many nontrivial solutions.
topic Multiple solutions
Kirchhoff-type equation
sign-changing potential
Morse theory
variational methods
url http://ejde.math.txstate.edu/Volumes/2015/274/abstr.html
work_keys_str_mv AT hongliangliu multiplesolutionsforanindefinitekirchhofftypeequationwithsignchangingpotential
AT haibochen multiplesolutionsforanindefinitekirchhofftypeequationwithsignchangingpotential
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