Volume 45_4_(2024)_281-292

Non-autonomous overdetermined problems for the normalized p-Laplacian
Lucio Cadeddu, Antonio Greco, Benyam Mebrate

Abstract. We present existence and nonexistence results on the solution of an overdetermined problem for the normalized p-Laplacian in a bounded open set, with p ranging from 1 to infinity. More precisely we consider a non-constant Neumann condition at the boundary. The definitions and statements needed to understand the main results are recalled in detail

Rend. Mat. Appl. (7) 45 (2024) 281-292;  pdf