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math.AP2019★ 2 cited
Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
Xianhua Tang, Sitong Chen
In the present paper, we consider the following singularly perturbed problem: \begin{equation*} \left\{ \begin{array}{ll} -\varepsilon^2\triangle u+V(x)u=\varepsilon^{-α}(I_α*F(u))…
math.AP2019★ 16 cited
Berestycki-Lions conditions on ground state solutions for Kirchhoff-type problems with variable potentials
Sitong Chen, Xianhua Tang
By introducing some new tricks, we prove that the nonlinear problem of Kirchhoff-type \begin{equation*} \left\{ \begin{array}{ll} -\left(a+b\int_{\R^3}|\nabla u|^2\mathrm{d}x\right…