Stable solutions of $-\Delta u=f\left(u\right)$ in ${ℝ}^N$

Dupaigne, Louis, and Farina, Alberto. "Stable solutions of $−\Delta u= f(u)$ in $\mathbb {R}^N$." Journal of the European Mathematical Society 012.4 (2010): 855-882. <http://eudml.org/doc/277779>.

@article{Dupaigne2010,
abstract = {Several Liouville-type theorems are presented for stable solutions of the equation $-\Delta u=f(u)$ in $\mathbb \{R\}^N$, where $f>0$ is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.},
author = {Dupaigne, Louis, Farina, Alberto},
journal = {Journal of the European Mathematical Society},
keywords = {Liouville-type theorems; stable solutions},
language = {eng},
number = {4},
pages = {855-882},
publisher = {European Mathematical Society Publishing House},
title = {Stable solutions of $−\Delta u= f(u)$ in $\mathbb \{R\}^N$},
url = {http://eudml.org/doc/277779},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Dupaigne, Louis
AU - Farina, Alberto
TI - Stable solutions of $−\Delta u= f(u)$ in $\mathbb {R}^N$
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 4
SP - 855
EP - 882
AB - Several Liouville-type theorems are presented for stable solutions of the equation $-\Delta u=f(u)$ in $\mathbb {R}^N$, where $f>0$ is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.
LA - eng
KW - Liouville-type theorems; stable solutions
UR - http://eudml.org/doc/277779
ER -