Nonexistence of stable solutions to p-Laplace equations with exponential nonlinearities
In this note we prove the nonexistence of stable solutions to the p-Laplace equation $-\Delta_p u = e^u$ on the entire Euclidean space $\mathbb{R}^N$, where $p>2$ and $N < \frac{p(p+3)}{p-1}$.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-12-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/326/abstr.html |