A new approach to Liouville theorems for elliptic inequalities

Scott Armstrong (1) , Boyan Sirakov (2)

1 Department of Mathematics [Chicago]
2 MODAL'X - Modélisation aléatoire de Paris X

In this article we review a new method for proving the nonexistence of positive solutions of elliptic inequalities in unbounded domains in $\rn$, $N\geq 2$, which was recently introduced by the authors.

Domaines: Equations aux dérivées partielles [math.AP]

Scott Armstrong, Boyan Sirakov. A new approach to Liouville theorems for elliptic inequalities. Progress in Variational Problems, Jun 2011, Kyoto, Japan. pp.64-73. ⟨hal-00687696⟩