$p-$Harmonic functions in the upper half-space
Analysis of PDEs
2023-07-25 v1
Abstract
This paper investigates the existence, nonexistence, and qualitative properties of p-harmonic functions in the upper half-space satisfying nonlinear boundary conditions for . Moreover, the symmetry of positive solutions is shown by using the method of moving planes.
Cite
@article{arxiv.2307.12124,
title = {$p-$Harmonic functions in the upper half-space},
author = {Emerson Abreu and Rodrigo Clemente and João Marcos Do Ó and Everaldo Medeiros},
journal= {arXiv preprint arXiv:2307.12124},
year = {2023}
}