Sign-changing solutions for some nonlinear problems with strong resonance

<p>Abstract</p> <p>By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.</p> <p><b>2000 Mathematics Subject Classifi...

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Main Author: Qian Aixia
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Subjects:
Online Access:http://www.boundaryvalueproblems.com/content/2011/1/18
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spelling doaj-4dc693b1488448aea3fab5f65d98585d2020-11-24T22:19:34ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-012011118Sign-changing solutions for some nonlinear problems with strong resonanceQian Aixia<p>Abstract</p> <p>By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.</p> <p><b>2000 Mathematics Subject Classification: </b>35J65; 58E05.</p> http://www.boundaryvalueproblems.com/content/2011/1/18critical point theorystrong resonanceindex theoryCerami condition
collection DOAJ
language English
format Article
sources DOAJ
author Qian Aixia
spellingShingle Qian Aixia
Sign-changing solutions for some nonlinear problems with strong resonance
Boundary Value Problems
critical point theory
strong resonance
index theory
Cerami condition
author_facet Qian Aixia
author_sort Qian Aixia
title Sign-changing solutions for some nonlinear problems with strong resonance
title_short Sign-changing solutions for some nonlinear problems with strong resonance
title_full Sign-changing solutions for some nonlinear problems with strong resonance
title_fullStr Sign-changing solutions for some nonlinear problems with strong resonance
title_full_unstemmed Sign-changing solutions for some nonlinear problems with strong resonance
title_sort sign-changing solutions for some nonlinear problems with strong resonance
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2011-01-01
description <p>Abstract</p> <p>By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.</p> <p><b>2000 Mathematics Subject Classification: </b>35J65; 58E05.</p>
topic critical point theory
strong resonance
index theory
Cerami condition
url http://www.boundaryvalueproblems.com/content/2011/1/18
work_keys_str_mv AT qianaixia signchangingsolutionsforsomenonlinearproblemswithstrongresonance
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