EXISTENCE OF SOLUTIONS TO NONLOCAL AND SINGULAR ELLIPTIC PROBLEMS VIA GALERKIN METHOD

被引：0
|
作者：
Correa, Francisco Julio S. A. [1 ]
Menezes, Silvano D. B. [1 ]
机构：
[1] Fed Univ Para, CCEN, Dept Matemat, BR-66075110 Belem, Para, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年
关键词：
Nonlocal elliptic problems; Galerkin Method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of solutions to the nonlocal elliptic equation [GRAPHICS] with zero Dirichlet boundary conditions on a bounded and smooth domain of R-n. We consider the M-linear case with f is an element of H-1( Omega), and the sub-linear case f(u) = u(alpha), 0 < alpha < 1. Our main tool is the Galerkin method for both cases when M continuous and when M is discontinuous.
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页数：10
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