Yinbin Li, Jian Zhang
Abstract:
This article concerns the diffusion system
where
,
is a general periodic function, g, f
are periodic in t, x and asymptotically linear in u, v at infinity.
We find a minimizing Cerami sequence of the energy functional outside
the Nehari-Pankov manifold
and therefore obtain ground
state solutions.
Submitted April 13, 2016. Published June 15, 2016.
Math Subject Classifications: 35J10, 35J20.
Key Words: Diffusion systems; asymptotically linear; diagonal method;
Nehari-Pankov manifold.
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Yinbin Li School of Mathematics and Statistics Central South University Changsha, Hunan 410083, China email: liyinbin1991@163.com | |
Jian Zhang School of Mathematics and Statistics Hunan University of Commerce Changsha, Hunan 410205, China email: zhangjian433130@163.com |
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