Non-autonomous overdetermined problems for the normalized p -Laplacian

Lucio Cadeddu;Antonio Greco

;Benyam Mebrate

2024-01-01

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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.