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 $N\geq 3$, $2<q<22^*(\mu)$...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2017-04-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2017/114/abstr.html |