Stable solutions of $-\Delta u = f(u)$ in $\R^N$
Analysis of PDEs
2008-06-17 v2
Abstract
The paper proves Liouville-type results for stable solutions of semilinear elliptic PDEs with convex nonlinearity, posed on the entire Euclidean space. Extensions to solutions which are stable outside a compact set are also presented.
Keywords
Cite
@article{arxiv.0806.0492,
title = {Stable solutions of $-\Delta u = f(u)$ in $\R^N$},
author = {Louis Dupaigne and Alberto Farina},
journal= {arXiv preprint arXiv:0806.0492},
year = {2008}
}