期刊论文

Shuai, Wei（彭双阶）

英文

Journal of Differential Equations

0022-0396

2017

263

1

709-731

10.1016/j.jde.2017.02.053

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371160, 11328101, 11629101]; program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT13066]; NSFCNational Natural Science Foundation of China (NSFC) [11571130]; program for the development of talented scientists in Hubei Province, China; CCNU from the colleges' basic research and operation of MOEMinistry of Education, Singapore [CCNU16A05042]

本校为第一且通讯机构

This paper deals with the following system linearly coupled by nonlinear elliptic equations {-Delta u + lambda(1)u = vertical bar u vertical bar(2)*(-2)u + beta v, x is an element of Omega, -Delta u + lambda(2)u = vertical bar v vertical bar(2)*(-2)v + beta u, x is an element of Omega u = v = 0 on partial derivative Omega. Here Omega is a smooth bounded domain in R-N(N >= 3), lambda(1), lambda(2) > -lambda(1)(Omega) are constants, lambda(1)(Omega) is the first eigenvalue of (-Delta, H-0(1) (Omega)), 2* = 2N/N-2 is the Sobolev critical exponent and beta is an element of R is a coupling paramete...