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Sign-changing solutions for degenerate elliptic equations
Dai jin-jun,Peng Shuang-Jie * #,Zhao Rui-huan
School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079
*Correspondence author
#Submitted by
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Funding: This work was supported by the PhD Specialized Grant of Ministryof Education of China (No.Grant 20110144110001)
Opened online:23 November 2015
Accepted by: none
Citation: Dai jin-jun,Peng Shuang-Jie,Zhao Rui-huan.Sign-changing solutions for degenerate elliptic equations[OL]. [23 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4662422
 
 
In this paper, we are concerned a class of degenerate elliptic problem which is relatedto the Caffarelli-Kohn-Nirenberg inequalities. We first prove a global compactness result and thenobtain sign-changing solutions for the above problem. Due to the degeneracy of the second order ellipticoperator, some new phenomena appear.
Keywords:degenerate elliptic equations, global compactness, sign-changing solutions.
 
 
 

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