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The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2011Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 250, pages 1,876-1,908 (issn: 0022-0396,

Authors: Ching-yu Chen; Tsung-fang Wu; Yueh-Cheng Kuo;

doi: 10.1016/j.jde.2010.11.017

The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

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Abstract

AbstractThis paper examines a class of Kirchhoff type equations that involve sign-changing weight functions. Using Nehari manifold and fibering map, the existence of multiple positive solutions is established.

Related Organizations

National University of Kaohsiung
Taiwan
National University of Kaohsiung
Taiwan

Keywords

Sign-changing weight, Nehari manifold, Kirchhoff type equation, Fibering map, Analysis

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	315
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 1%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 1%

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Fields of Science