Existence and uniqueness of solutions of a semilinear differential equation

被引：0

作者：

Olofsson, A

机构：

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2003年 / 52卷 / 05期

关键词：

singular semilinear elliptic equation; supersolution; superharmonic function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the questions of existence and uniqueness of solutions of equation (0. 1) below. Under natural assumptions on Omega, mu and f, we show that the solutions u of (0. 1) are in one-to-one correspondence with the set of nonnegative harmonic functions h in Omega. The correspondence is given by M : u --> h, where h is the largest harmonic minorant of u in Omega.

引用

页码：1251 / 1263

页数：13

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