%0 Journal Article %T Liouville-type theorems for the Lane-Emden equation in the half-space and cones %+ Institut Camille Jordan (ICJ) %+ Équations aux dérivées partielles, analyse (EDPA) %+ Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA) %+ Politecnico di Milano [Milan] (POLIMI) %A Dupaigne, Louis %A Farina, Alberto %A Petitt, Troy %< avec comité de lecture %@ 0022-1236 %J Journal of Functional Analysis %I Elsevier %V 284 %N 10 %P 109906 %8 2023-05 %D 2023 %Z 2207.06049 %R 10.1016/j.jfa.2023.109906 %Z Mathematics [math]Journal articles %X We prove that 0 is 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. %G English %L hal-04061277 %U https://u-picardie.hal.science/hal-04061277 %~ UNIV-ST-ETIENNE %~ CNRS %~ ICJ %~ UNIV-PICARDIE %~ UNIV-LYON1 %~ INSA-LYON %~ EC-LYON %~ INSMI %~ INSA-GROUPE %~ UDL %~ UNIV-LYON %~ U-PICARDIE %~ LAMFA