Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains

Louis Dupaigne (1, 2) , Alberto Farina (3)

1 ICJ - Institut Camille Jordan
2 EDPA - Équations aux dérivées partielles, analyse
3 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10, or in some unbounded domains.

Domaines: Mathématiques [math]

Louis Dupaigne, Alberto Farina. Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains. Analysis & PDE, 2022, 15 (2), pp.551-566. ⟨10.2140/apde.2022.15.551⟩. ⟨hal-04013645⟩