Geodesic
Stable solutions of $−\Delta u = f(u)$ in $\mathbb{R}^N$
Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 855-882.

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Several Liouville-type theorems are presented for stable solutions of the equation −∆u=f(u) in RN, where f>0 is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.
DOI : 10.4171/jems/217
Classification : 35-XX, 00-XX 
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     title = {Stable solutions of $\ensuremath{-}\Delta u = f(u)$ in $\mathbb{R}^N$},
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Louis Dupaigne; Alberto Farina. Stable solutions of $−\Delta u = f(u)$ in $\mathbb{R}^N$. Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 855-882. doi : 10.4171/jems/217. http://geodesic.mathdoc.fr/articles/10.4171/jems/217/

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