SEMILINEAR ELLIPTIC-EQUATIONS WITH UNIFORM BLOW-UP ON THE BOUNDARY

被引：125

作者：

VERON, L ^{[1
]}

机构：

[1] UNIV TOURS,FAC SCI,DEPT MATH,F-37200 TOURS,FRANCE

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 1992年 / 59卷

关键词：

D O I：

10.1007/BF02790229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and the uniqueness of a solution u of -Lu + h\u\alpha-1 u = f in some open domain G subset-of R(d), where L is a strongly elliptic operator, f a nonnegative function, and alpha > 1, under the assumption that partial derivative G is a C2 compact hypersurface, lim(x --> partial derivative G(dist(x, partial derivative G))2alpha/(alpha-1) f(x) = 0, and lim(x --> partial derivative G (u(x) = infinity.

引用

页码：231 / 250

页数：20

共 12 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].