Standing waves for the NLS equation with competing nonlocal and local nonlinearities: the double $L^2$-supercritical case

Shuai Yao, Hichem Hajaiej, Juntao Sun +1

We investigate the NLS equation with competing Hartree-type and power-type nonlinearities \begin{equation*} \begin{array}{ll} i\partial _{t}ψ+Δψ+γ(I_{α}\ast |ψ|^{p})|ψ|^{p-2}ψ+μ|ψ|…