POINT RUPTURE SOLUTIONS OF A SINGULAR ELLIPTIC EQUATION

被引：0

作者：

Jiang, Huiqiang ^{[1
]}

Miloua, Attou ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

基金：

美国国家科学基金会;

关键词：

Thin film; point rupture; radial solution; singular equation; THIN-FILM; STEADY-STATES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the elliptic equation Delta u = f(u) in a region Omega subset of R-2,where f is a positive continuous function satisfying lim(u -> 0+) f(u) = infinity. Motivated by the thin film equations, a solution u is said to be a point rupture solution if for some p is an element of Omega, u(p) = 0 and u(p) > 0 in Omega\{p}.Our main result is a sufficient condition on f for the existence of radial point rupture solutions.

引用

页数：8

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