Abstract
In the paper, we consider the following Schrödinger equations −△u+V(x)u=g(u),x∈RN,N≥3,where g satisfies Berestycki–Lions conditions and V is a small perturbation. The assumptions on V are different from the ones in Azzollini and Pomponio (2009). By using the variational methods, we show the equation has a positive ground state solution.
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