Liouville type theorems for elliptic equations involving Grushin operator and advection
In this article, we study the equation $$ -G_{\alpha}u+\nabla_G w\cdot\nabla_Gu=\|\mathbf{x}\|^{s}|u|^{p-1}u , \quad \mathbf{x}=(x,y)\in \mathbb{R}^N= \mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, $$ where $ G_\alpha$ (resp., $\nabla_G$) is Grushin operator (resp.\ Grushin gradient), p>1 and $...
| 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/2017/108/abstr.html |