Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation

Tomáš Dohnal, Michael Plum, Wolfgang Reichel

We consider the nonlinear Schrödinger equation $(-\Delta +V(x))u=\Gamma (x)|u{|}^{p-1}u$, $x\in {\mathbb{R}}^n$ with $V(x)=V_1(x){\chi }_{\{x_1>0\}}(x)+V_2(x){\chi }_{\{x_1<0\}}(x)$ and $Γ(x) = Γ_1(x) χ_{\{x_1…