Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation
Analysis of PDEs
2025-02-28 v1
Abstract
We establish a new type of weak Harnack estimates with optimal parabolic tail for the weak supersolutions to a doubly nonlinear nonlocal -Laplace equation, which is modeled on the nonlocal Trudinger equation. Our results are achieved by employing the expansion of positivity and measure theoretical techniques. In particular, the weak Harnack estimates highlight the nonlocal feature, as we only require the local positivity of weak supersolutions instead of the global one.
Cite
@article{arxiv.2502.19925,
title = {Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation},
author = {Bin Shang and Chao Zhang},
journal= {arXiv preprint arXiv:2502.19925},
year = {2025}
}