A PRIORI ESTIMATES OF POSITIVE SOLUTIONS FOR SUBLINEAR ELLIPTIC EQUATIONS

被引：5

作者：

Kajikiya, Ryuji ^{[1
]}

机构：

[1] Nagasaki Inst Appl Sci, Nagasaki 8510193, Japan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 07期

关键词：

Sublinear elliptic equation; a priori estimates; thickness of domain; positive solution;

D O I：

10.1090/S0002-9947-09-04875-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a priori estimates of positive solutions for sublinear elliptic equations are given in terms of thicknesses of domains. To this end, a supersolution is constructed by a composite function of a solution to an ordinary differential equation and a distance function. The results work efficiently in the case where the domain is an exterior or an interior of a convex set.

引用

页码：3793 / 3815

页数：23

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