Existence and uniqueness results for large solutions of general nonlinear elliptic equations

被引：80

作者：

Marcus, M ^{[1
]}

Véron, L

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Univ Tours, Lab Math & Phys Theor, CNRS, UMR 6083, F-37200 Tours, France

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2003年 / 3卷 / 04期

关键词：

elliptic equations; Keller-Osserman a priori estimate; maximal solutions; super and sub solutions;

D O I：

10.1007/s00028-003-0122-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study under what condition there exists a solution of -Deltau + f(u) = 0 in a domain Omega 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) = e(au).

引用

页码：637 / 652

页数：16

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