包含临界指数的奇异 p-Laplacian 解的存在性和不存在性(英文)  

Existence and Nonexistence of Solutions for a Singular p-Laplacian Involving Critical Exponent

作　　者：姚仰新[1] 陈志辉[1] 陈银冬[1] 

机构地区：[1]华南理工大学应用数学系,广东广州510640

出　　处：《工程数学学报》2004年第6期905-909,共5页Chinese Journal of Engineering Mathematics

基　　金：This work was Supported by NSFC (10171032) and NSF of Guangdong (011606).

摘　　要：本文利用 Sobolev-Hardy 不等式,山路几何,Pohozaeve 恒等式,证明了一类包含临界指数的奇异 p-Laplacian 解的存在性和不存在性。In this paper we give some existence and nonexistence results for a singular p-Laplace equation involving critical Sobolve-Hardy exponent by using Sobolev-Hardy inequality, the mountain pass geometry and Pohozaeve identity.

关 键 词：P-LAPLACIAN方程 临界指数 非平凡解 Pohozaeve恒等式 SOBOLEV-HARDY不等式 

分 类 号：O175.25[理学—数学]