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.
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页数：8
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