Large solutions for equations involving the p-Laplacian and singular weights

被引：22

作者：

Garcia-Melian, Jorge ^{[1
]}

机构：

[1] Univ La Laguna, Dpto Anal Matemat, San Cristobal la Laguna 38271, Spain

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2009年 / 60卷 / 04期

关键词：

Boundary blow-up; p-Laplacian; singular weights; BOUNDARY BLOW-UP; LINEAR ELLIPTIC PROBLEMS; ASYMPTOTIC-BEHAVIOR; EXPLOSIVE SOLUTIONS; UNIQUENESS; EXISTENCE; REGULARITY;

D O I：

10.1007/s00033-008-7141-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the boundary blow-up problem Delta(p)u = a(x)u(q) in a smooth bounded domain Omega of R-N, with u = +infinity on partial derivative Omega. Here Delta(p)u = div(vertical bar del u vertical bar(p-2)del u) is the well-known p-Laplacian operator with p > 1, q > p - 1, and a(x) is a nonnegative weight function which can be singular on partial derivative Omega. Our results include existence, uniqueness and exact boundary behavior of positive solutions.

引用

页码：594 / 607

页数：14

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