SOLUTIONS FOR SINGULAR p-LAPLACIAN EQUATION IN R~n

被引：0
|
作者：
Xiangqing LIU Yuxia GUO Jiaquan LIU Department of Mathematics Yunan Normal University
机构：
来源：
Journal of Systems Science & Complexity | 2009年 / 22卷 / 04期
关键词：
PositiVe s01utions; singular p-Laplacian equations;
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
In this paper,the authors study the existence and non-existence of positive solutions forsingular p-Laplacian equation-△u=f(x)u+λg(x)u~β in R~N,where N≥3,1<p<N,λ>0,0<α<1,max(p,2)<β+1<p~*=(Np)/(N-p).We prove that there exists a critical value Λ such that theproblem has at least two solutions if 0<λ<A;at least one solution if λ=Λ;and no solutions ifλ>A.
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页码：597 / 613
页数：17
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