Uniqueness for boundary blow-up problems with continuous weights

被引：21

作者：

Garcia-Melian, Jorge ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, E-38271 San Cristobal la Laguna, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 09期

关键词：

D O I：

10.1090/S0002-9939-07-08822-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that for p > 1 the problem Delta u = a(x)u(p) in a bounded C-2 domain Omega of R-N has a unique positive solution with u = infinity on delta Omega. The nonnegative weight a(x) is continuous in (Omega) over bar but is only assumed to verify a " bounded oscillations" condition of local nature near delta Omega in contrast with previous works, where a definite behavior of a near delta Omega was imposed.

引用

页码：2785 / 2793

页数：9

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