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Existence and uniqueness results for large solutions of general nonlinear elliptic equations
被引：0
作者：
Moshe Marcus
Laurent Véron
机构：
[1] Israel Institute of Technology,Department of Mathematics
[2] Université François Rabelais,Laboratoire de Mathématiques et Physique Théorique, CNRS UMR 6083
来源：
Journal of Evolution Equations
|
2003年
/
3卷
关键词：
35J60;
Elliptic equations;
Keller-Osserman a priori estimate;
maximal solutions;
super and sub solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study under what condition there exists a solution of
-Δu+f(u)=0 in a
domain Ω which blows-up on the boundary, independently of the regularity of the boundary,
and we provide criteria for uniqueness. We apply our results to the case
f(u)=
eau.
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页码：637 / 652
页数：15
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