Ground States for Reaction-Diffusion Equations with Spectrum Point Zero

In this paper, we are concerned with the existence of ground state solution for the following reaction-diffusion equation ∂ t u - Δ x u + b ( t , x ) · ∇ x u + V ( x ) u + λ v = g ( t , x , v ) , - ∂ t v - Δ x v - b ( t , x ) · ∇ x v + V ( x ) v + λ u = f ( t , x , u ) , where ( t , x ) ∈ R × R N ,...

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