About existence and regularity of positive solutions for a Quasilinear Schr\'odinger equation with singular nonlinearity

Autor: Alves, Ricardo Lima, Reis, Mariana
Rok vydání: 2019
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations-60-2020-1-23
Druh dokumentu: Working Paper
DOI: 10.14232/ejqtde.2020.1.60
Popis: This paper deals with the existence of positive solution for the singular quasilinear Schr\"odinger equation $-\Delta u -\Delta (u^{2})u=h(x) u^{-\gamma} + f(x,u)~\mbox{in} ~ \Omega,$ where $\gamma > 1$, $\Omega \subset \mathbb{R}^{N}, (N\geq 3)$ is a bounded smooth domain, $0
Databáze: arXiv