An existence of positive solutions to singular elliptic equations

被引：6
|
作者：
Tyagi J. [1 ]
机构：
[1] Indian Institute of Technology Gandhinagar, Vishwakarma Government Engineering College Complex, Chandkheda, Visat-Gandhinagar Highway
来源：
Bollettino dell'Unione Matematica Italiana | 2014年 / 7卷 / 1期
关键词：
Elliptic equation; Hardy potential;
D O I：
10.1007/s40574-014-0003-z
中图分类号：
学科分类号：
摘要：
In this paper we study the existence of solutions to the following semilinear elliptic problem {-div(M(x)∇μ) - μu/|x|2 = f(x)/uθ in Ω, u>0 in Ω, u = 0 on ∂Ω, where Ω is an open bounded subset of ℝN, N ≥ 3, 0 ε Ω and θ > 0, 0 ≤ f ε Lm(Ω),1< m < N/2, 0<μ < (N-2/2)2 The special feature of this problem is that it has singularity at the origin as well as on the boundary of Ω. © 2014 Unione Matematica Italiana.
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页码：45 / 53
页数：8
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