Liouville-type theorems for the Lane-Emden equation in the half-space and cones
Abstract
We prove that 0 the only classical solution of the Lane-Emden equation in the half-space which is stable outside a compact set. We also consider weak solutions and the case of general cones.
On montre que 0 est la seule solution classique de l'équation de Lane-Emden sur le demi-espace qui est stable en dehors d'un compact. Nous étudions également les solutions faibles et le cas des cônes généraux
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