Some existence results on a class of generalized quasilinear
Schr\”{o}dinger equations with Choquard type
Abstract
{\bf Abstract.} In this paper, we study the generalized
quasilinear Schr\”{o}dinger equation
\begin{equation*}
-\text{div}(g^2(u)\nabla
u)+g(u)g’(u)|\nabla
u|^2+V(x)u=(I_{\alpha}\ast|u|^{p})|u|^{p-2}u,\
\ \
x\in\R^N,
\end{equation*} where $N\geq3$,
$0<\alpha