A two-phase quenching-type problem for the p-Laplacian
Analysis of PDEs
2025-04-16 v1
Abstract
We study minimizers of non-differentiable functionals of the Alp-Phillips type with two-phases for the -Laplacian , focusing on the geometric and analytical properties of free boundaries. The main result establishes finite -dimensional Hausdorff measure estimates, achieved through optimal gradient decay estimates, a -inequality and the known classifications of blow-up profiles of the linear case.
Keywords
Cite
@article{arxiv.2504.11370,
title = {A two-phase quenching-type problem for the p-Laplacian},
author = {Julio C. Correa and Disson dos Prazeres},
journal= {arXiv preprint arXiv:2504.11370},
year = {2025}
}