Ground state solutions for a quasilinear Schrodinger equation with singular coefficients

In this article, we study the quasilinear Schrodinger equation with the critical exponent and singular coefficients, $$ -\Delta u +V(x)u-\Delta(|u|^2)u=\lambda\frac{|u|^{q-2}u}{|x|^{\mu}} +\frac{|u|^{22^*(\nu)-2}u}{|x|^\nu}\quad\text{in } \mathbb{R}^N, $$ where $N\geq 3$, $2<q<22^*(\mu)$...

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Bibliographic Details
Main Authors: Jixiu Wang, Qi Gao, Li Wang
Format: Article
Language:English
Published: Texas State University 2017-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/114/abstr.html