Ground State Solutions for an Asymptotically Linear Diffusion System
نویسندگان
چکیده
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 × RN → R2, V (x) ∈ C(RN , 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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