Non-autonomous overdetermined problems for the normalized p-Laplacian
Analysis of PDEs
2024-03-06 v2
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.
Cite
@article{arxiv.2209.04625,
title = {Non-autonomous overdetermined problems for the normalized p-Laplacian},
author = {Lucio Cadeddu and Antonio Greco and Benyam Mebrate},
journal= {arXiv preprint arXiv:2209.04625},
year = {2024}
}
Comments
13 pages, 1 figure, statements rephrased, typos corrected, references rearranged