期刊
APPLIED MATHEMATICS LETTERS
卷 100, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.106042
关键词
Linearly coupled; Bifurcation; Nontrivial solution
资金
- NSFC, China [11601353, 11671026, 11771302]
Consider the elliptic system with linearly coupled terms {-Delta u = lambda v + f(1)(u, v), in Omega, -Delta v = mu u + f(2)(u, v), in Omega, u = 0, v = 0, on partial derivative Omega, where lambda,mu is an element of R are constants and Omega subset of R-N is a smooth bounded domain. We study the local and global bifurcations with respect to T-0 := {((lambda, mu), (0, 0))} subset of R-2 x X, where X is a proper Banach space. Our results are of particular interest for obtaining nontrivial solutions in the case lambda not equal mu. (C) 2019 Elsevier Ltd. All rights reserved.
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