Positive solutions of nonlinear elliptic equations in the Euclidean plane

被引：24

作者：

Ufuktepe, U ^{[1
]}

Zhao, Z ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 12期

关键词：

D O I：

10.1090/S0002-9939-98-04985-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study the existence of solutions to the problem [GRAPHICS] where D is an unbounded domain in R-2 with a compact nonempty boundary partial derivative D consisting of finitely many Jordan curves. The goal is to prove an existence theorem for the above problem in a general setting by using Brownian path integration and potential theory.

引用

页码：3681 / 3692

页数：12

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