Liouville-type theorems for elliptic inequalities with power nonlinearities involving variable exponents for a fractional Grushin operator

We establish Liouville-type theorems for the elliptic inequality $$ u\geq 0,\quad G_{\alpha,\beta,\theta}\big(u^{p(x,y)},u^{q(x,y)}\big) \geq u^{r(x,y)}, \quad (x,y)\in \mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, $$ where $G_{\alpha,\beta,\theta}$, $0<\alpha,\beta<2$, $\theta\geq 0$, is the...

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Bibliographic Details
Main Authors: Mohamed Jleli, Mokhtar Kirane, Bessem Samet
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/146/abstr.html