首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Large solutions for equations involving the p-Laplacian and singular weights
Authors:Jorge García-Melián
Institution:(1) Department of Mathematics, The Australian National University, Canberra, ACT 0200, Australia;(2) Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Universit? degli Studi di Napoli “Federico II”, Complesso M. S. Angelo, Via Cintia, 80126 Napoli, Italy
Abstract:In this paper we consider the boundary blow-up problem Δpua(x)uq in a smooth bounded domain Ω of \mathbbRN{\mathbb{R}}^N, with u = +∞ on ∂Ω. Here Dpu = div(|?u|p-2?u)\Delta_{p}u = {\rm div}(|\nabla u|^{p-2}\nabla u) is the well-known p-Laplacian operator with p > 1, qp − 1, and a(x) is a nonnegative weight function which can be singular on ∂Ω. Our results include existence, uniqueness and exact boundary behavior of positive solutions.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号