ASYMPTOTICS FOR A CLASS OF p-LAPLACE EQUATION INVOLVING CRITICAL GROWTH ON BALL  

球上一类含临界增长p-Laplace方程的渐近性(英文)

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作  者:耿堤 薛亚芬 

出  处:《Annals of Differential Equations》2002年第1期14-26,共13页微分方程年刊(英文版)

基  金:The research work was supported by the National Natural Science Foundation of China (No. 10071024);the Guangdong Provincial N

摘  要:In this paper a general weighted p-Laplacian equation involving critical growth and singular coefficients is considered on the unit ball, rather complete results are obtained for asymptotic behavior of positive solutions as λ→0+. This problem includes p- Laplacian, weighted Laplacian, and the Hessian operators which are special cases of our result.In this paper a general weighted p-Laplacian equation involving critical growth and singular coefficients is considered on the unit ball, rather complete results are obtained for asymptotic behavior of positive solutions as λ→0+. This problem includes p- Laplacian, weighted Laplacian, and the Hessian operators which are special cases of our result.

关 键 词:p-Laplace operator asymptotic behavior critical exponents 

分 类 号:O175[理学—数学]

 

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