On a non-existence result involving the fractional p-Laplacian

Carole Louis-Rose (1) , Jean Velin (1)

1 CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée

We consider a nonlocal problem involving the fractional pp-Laplacian operator in bounded smooth domains. A non-existence result is obtained via a comparison process. This result extends those done for the fractional Laplacian.

Domaines: Mathématiques [math]

Carole Louis-Rose, Jean Velin. On a non-existence result involving the fractional p-Laplacian. Rivista di Matematica della Università di Parma, 2015, 6 (2), pp.345-355. ⟨hal-01679139⟩