## Classification of stable solutions for non-homogeneous higher-order elliptic PDEs

- Abdellaziz Harrabi, Belgacem Rahal, Mohamed Karim Hamdani
- Journal of inequalities and applications
- 2017

- Published 2012

We prove some Liouville type results for stable solutions to the biharmonic problem ∆u = u, u > 0 in R where 1 < q < ∞. For example, for n ≥ 5, we show that there are no stable classical solution in R when n+4 n−4 < q ≤ ( n−8 n )−1 + .

@inproceedings{Wei2012LiouvilleTF,
title={Liouville theorems for stable solutions of biharmonic problem},
author={Juncheng Wei and Dong Ye},
year={2012}
}