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Hardy Type Inequality in Weighted Variable Exponent Spaces and Applications to p(x)-Laplace Type Equations
Chen Lizhi * #
School of Mathematics and Statistics, Lanzhou University
*Correspondence author
#Submitted by
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Funding: 国家自然科学基金(No.10671084)
Opened online:27 November 2007
Accepted by: none
Citation: Chen Lizhi .Hardy Type Inequality in Weighted Variable Exponent Spaces and Applications to p(x)-Laplace Type Equations[OL]. [27 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16580
 
 
In this paper, the Hardy-Type inequality with more general weights is established in weighted variable exponent Sobolev spaces. With the help of it, existence of nontrivial weak solutions of the p(x)-Laplace type equations is proved.
Keywords:Weighted Variable Exponent Space, Hardy type inequality, p(x)-Laplace type operator, Mountain pass theorem
 
 
 

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