THE EXISTENCES OF POSITIVE SOLUTIONS FOR P-MEAN CURVATURE OPERATOR WITH SUPERCRITICAL POTENTIAL

作     者：Fu Hongzhuo Shen Yaotian 

作者机构：School of Mathematical Siences South China University of Technology Guangzhou 510640 Department of Mathematics University of Science and Technology of China Hefei 230026 China School of Mathematical Siences South China University of Technology Guangzhou 510640 China 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2005年第18卷第3期

页      面：193-205页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China(10171032) and the Guangdong Provincial Natural Science Foundation of China(011606) 

主　　题：平均曲率 正解 Ekeland变化法则 光滑边界 Laplace算子 存在性 

摘      要：This paper is concerned with the existences of positive solutions of the following Dirichlet problem for p -mean curvature operator with supercritical potential: {-div((1 +vertical bar del u vertical bar(2))P-2/2 del u) = lambda u(r-1) + mu(uq-1)/vertical bar x vertical bar(s) , u 0 x is an element of x Omega u= 0 x is an element of partial derivative Omega where u is an element of W-0(1)(Omega), Omega is a bounded domain in R-N(N p 1) with smooth boundary partial derivative Omega and 0 is an element of Omega, 0 = 2.