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

This 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.

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Bibliographic Details
Published in:	Journal of Differential Equations Vol. 250; no. 4; pp. 1876 - 1908
Main Authors:	Chen, Ching-yu, Kuo, Yueh-cheng, Wu, Tsung-fang
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.02.2011
Subjects:	Fibering map Kirchhoff type equation Nehari manifold Sign-changing weight Kirchhoff type equation Fibering map Sign-changing weight Nehari manifold
ISSN:	0022-0396, 1090-2732
Online Access:	Get full text
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Description
Summary:	This 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.
ISSN:	0022-0396 1090-2732
DOI:	10.1016/j.jde.2010.11.017