期刊论文

He, Qihan（彭双阶）

英文

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

0002-9939

2016

144

9

4055-4063

10.1090/proc/13160

Central China Normal University [2015YBZD008]; NSFCNational Natural Science Foundation of China (NSFC) [11571130]; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT)

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In this paper, we establish a relationship between the elliptic system {-Delta u + lambda u = mu(1)vertical bar u vertical bar(2pu) + beta(1)vertical bar v vertical bar(q1)vertical bar u vertical bar(p1-1)u, x is an element of Omega -Delta v + lambda v = mu(2)vertical bar v vertical bar(2p)v + beta(2)vertical bar u vertical bar(q2)vertical bar v vertical bar(p2-1)v, x is an element of Omega u = v = 0 on partial derivative Omega, and its corresponding single elliptic problem, where lambda is an element of R, beta(i) > 0, mu(i) < 0, p(i), q(i) >= 0, 1 < p(i) + q(i) = 2p + 1 for i = 1, 2, and Ome...