Published Paper

Inserted: 27 sep 2019
Last Updated: 16 mar 2021

Journal: Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire
Year: 2019
Doi: 10.1016/j-anihpc.2020.12.001

Abstract:

In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radial solutions for the Lane-Emden system posed in a ball, in the critical and supercritical regimes. Some of our results also apply to general fully nonlinear operators, such as Pucci's extremal operators, being new even for scalar equations.