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Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type
Xuan Benjin
University of Science and Technology of China
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Funding: 国家自然科学基金(No.10101024)
Opened online: 9 February 2004
Accepted by: none
Citation: Xuan Benjin.Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type[OL]. [ 9 February 2004] http://en.paper.edu.cn/en_releasepaper/content/219
 
 
In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter $\lambda\in (0, \lambda_2)$, $\lambda_2$ is the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type.
Keywords:singular equation, Caffarelli-Kohn-Nirenberg inequality, Mountain Pass Lemma, Linking Argument
 
 
 

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