REGULARITY OF AN ELLIPTIC PROBLEM WITH A SINGULAR NONLINEARITY

被引：100

作者：

GUI, CF

LIN, FH

机构：

[1] Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1993年 / 123卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S030821050002970X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a semilinear boundary value problem with the feature that the vanishing boundary value makes the equation singular. We prove that the positive solution is in general Holder-continuous up to the boundary and has even better regularity in some special cases.

引用

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页码：1021 / 1029

页数：9

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