GROUND STATE SOLUTIONS FOR AN ASYMPTOTICALLY LINEAR DIFFUSION SYSTEM

Yinbin Li, Jian Zhang
2016 Electronic Journal of Differential Equations   unpublished
This article concerns the diffusion system ∂tu − ∆xu + V (x)u = g(t, x, v), −∂tv − ∆xv + V (x)v = f (t, x, u), where z = (u, v) : R × R N → R 2 , V (x) ∈ C(R N , R) 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 N and therefore obtain ground state solutions.
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