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.
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页码：291 / 301
页数：11
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