On semilinear Grushin--Schrödinger equation in ${\mathbb{R}}^N$

Jônison Carvalho, Arlúcio Viana

We establish the existence of nontrivial nonnegative weak solutions to the following equation \begin{equation*} -Δ_γu + V(z)u = Q(z)f(u), \quad z\in \mathbb{R}^N, \end{equation*}…