Stable solutions to weighted quasilinear problems of Lane-Emden type
We prove that all entire stable $W^{1,p}_{\rm loc}$ solutions of weighted quasilinear problem $$ -\hbox{div} (w(x)|\nabla u|^{p-2} \nabla u) = f(x)|u|^{q-1}u $$ must be zero. The result holds true for $p \ge 2$ and $p-1 < q < q_c(p,N,a,b)$. Here $b > a - p$ and $q_c(p,N,a,b)$ is a n...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/71/abstr.html |