作者机构：
[Shuang-jie; Kou] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Kou] PLA Univ Sci & Technol, Inst Sci, Nanjing 210007, Peoples R China.
通讯机构：
[Kou, Bing-yu] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Singular equations;Caffarelli-Kohn-Nirenberg inequalities;critical exponents;ground state sloutions
摘要：
Let Omega be a bounded domain with a smooth C(2) boundary in R(N)(N >= 3), 0 is an element of (Omega) over bar, and n denote the unit outward normal to partial derivative Omega. We are concerned with the Neumann boundary problems: -div(vertical bar x vertical bar(alpha)vertical bar del u vertical bar(p-2)del u) = vertical bar x vertical bar(beta)u(p(alpha,beta)-1) - lambda vertical bar x vertical bar(gamma)u(p-1), u(x) > 0, x is an element of Omega, partial derivative u/partial derivative n = 0 on partial derivative Omega, where 1 < p < N and alpha < 0, beta < 0 such that p(alpha, beta) (sic) p(N+beta)/N-p+alpha > p, gamma > alpha-p. For various parameters alpha, beta or gamma, we establish certain existence results of the solutions in the case 0 is an element of Omega or 0 is an element of partial derivative Omega.
作者机构：
[Dao-min Cao] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China.;[Shuang-jie Peng] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Cao, Dao-min] C;Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China.
关键词：
Mean curvature;critical point;concentrating solutions
