QUASILINEAR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT AND HARDY TERM  被引量:1

QUASILINEAR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT AND HARDY TERM

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作  者:Xie Huazhao (College of Math. and Statistics, Huazhong Normal University, Wuhan 430079) Li Suli (Math. Staff Office, The first Aeronautic College of The Air Force, Xinyang 464000, Henan) 

出  处:《Annals of Differential Equations》2008年第4期436-442,共7页微分方程年刊(英文版)

基  金:Supported by the Natural Science Foundation of China (10471052).

摘  要: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.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.

关 键 词:QUASILINEAR GENUS multiple solutions positive solution 

分 类 号:O175[理学—数学]

 

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