About existence and regularity of positive solutions for a Quasilinear Schrödinger equation with singular nonlinearity

Ricardo Lima Alves, Mariana Reis

This paper deals with the existence of positive solution for the singular quasilinear Schrödinger equation $-Δu -Δ(u^{2})u=h(x) u^{-γ} + f(x,u)~\mbox{in} ~ Ω,$ where $\gamma >1$, $Ω\sub…