Applications of monotone operators to a class of semilinear elliptic BVPs in unbounded domain

被引：0

作者：

Kar, Rasmita ^{[1
]}

机构：

[1] LNM Inst Informat Technol, Jaipur 302031, Rajasthan, India

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2014年 / 21卷 / 02期

关键词：

Monotone operators; Weighted Sobolev space; Semilinear elliptic equations; Unbounded domain; POSITIVE SOLUTIONS; BANACH SPACES; EQUATIONS; EXISTENCE; THEOREMS;

D O I：

10.36045/bbms/1400592626

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of a weak solution for a semilinear elliptic Dirichlet boundary-value problem Lu(x) - mu ug(1) (x) + h(u)g(2)(x) = f (x) in Omega, u(x) = 0 on partial derivative Omega, in a suitable weighted Sobolev space, where Omega = R-n\K,n >= 3 is an unbounded domain, and where K is a closure of some bounded domain in R-n, n >= 3.

引用

页码：291 / 301

页数：11

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