Existence and multiplicity of positive solutions for singular p-Laplacian equations

被引：1
|
作者：
Lu, Haishen [1 ]
Xie, Yi [1 ]
机构：
[1] Hohai Univ, Dept Appl Math, Nanjing 210098, Peoples R China
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2007年 / 26卷 / 01期
关键词：
p-Laplacian; positive solution; critical point theory;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Positive solutions are obtained for the boundary value problem Delta(p)u = lambda(u(beta) + (1)/u(alpha)) in Omega u > 0 in Omega u = 0 on partial derivative Omega, where Delta(p)u = div(vertical bar del u vertical bar(p-2)del u), 1 < p < N, N >= 3, Omega subset of R-N is a bounded domain, 0 < alpha < 1 and p - 1 < beta < p* - 1 (p* =(Np)/(N-p)) are two constants, lambda > 0 is a real parameter. We obtain that Problem (*) has two positive weakly solutions if lambda is small enough.
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页码：25 / 41
页数：17
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