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QUASILINEAR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT AND HARDY TERM
Authors:Xie Huazhao Li Suli
Affiliation:College of Math. and Statistics;Huazhong Normal University;Wuhan 430079;Math. Staff Office;The first Aeronautic College of The Air Force;Xinyang 464000;Henan
Abstract:This paper is concerned with a p-Laplacian elliptic problem with critical Sobolev-Hardy exponent and Hardy term. By variational methods and genus theory, we guarantee that this problem has at least one positive solution and admits many solutions with negative energy under sufficient conditions.
Keywords:quasilinear  genus  multiple solutions  positive solution  
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