Solitons of linearly coupled systems of semilinear non-autonomous equations on Rn

Using concentration compactness type arguments, we prove some results about the existence of positive ground and bound state of the following system of nonlinear Schrodinger equations: {−Δu+u=(1+a(x))|u|p−1u+λv,−Δv+v=(1+b(x))|v|p−1v+λu.

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