Liouville-type theorems for an elliptic system involving fractional Laplacian operators with mixed order
We study the nonexistence of nontrivial solutions for the nonlinear elliptic system $$\displaylines{ G_{\alpha,\beta,\theta}(u^{p},u^{q}) = v^{r}\cr G_{\lambda,\mu,\theta}(v^{s},v^{t}) = u^{m}\cr u,v\geq 0, }$$ where $0<\alpha,\beta,\lambda,\mu\leq 2$, $\theta\geq 0$, $m>q\geq p\geq 1$...
| 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/2017/105/abstr.html |