包含临界指数的奇异p-Laplacian解的存在性和不存在性
포함림계지수적기이p-Laplacian해적존재성화불존재성
Existence and Nonexistence of Solutions for a Singular p-Laplacian Involving Critical Exponent
  • 万方数据
    工程数学学报 공정수학학보
    CHINESE JOURNAL OF ENGINEERING MATHEMATICS
    2004年 6期 905-909 ,共5页

    姚仰新%陈志辉%陈银冬

    요앙신%진지휘%진은동

    p-Laplacian方程%临界指数%非平凡解%Pohozaeve恒等式%Sobolev-Hardy不等式 p-Laplacian方程%臨界指數%非平凡解%Pohozaeve恆等式%Sobolev-Hardy不等式
    p-Laplacian방정%림계지수%비평범해%Pohozaeve항등식%Sobolev-Hardy불등식
    p-Laplace equation%critical exponent%nontrivial solution%Pohozaeve identity%Sobolev-Hardy inequality
    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.
    본문이용Sobolev-Hardy불등식,산로궤하,Pohozaeve항등식,증명료일류포함림계지수적기이p-Laplacian해적존재성화불존재성.
    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.
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