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.

引用

页数：10

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