Nonlocal Liouville theorems with gradient nonlinearity
Analysis of PDEs
2025-02-21 v2
Abstract
In this article we consider a large family of nonlinear nonlocal equations involving gradient nonlinearity and provide a unified approach, based on the Ishii-Lions type technique, to establish Liouville properties of the solutions. We also answer an open problem raised by [24]. Some applications to regularity issues are also studied.
Cite
@article{arxiv.2407.16147,
title = {Nonlocal Liouville theorems with gradient nonlinearity},
author = {Anup Biswas and Alexander Quaas and Erwin Topp},
journal= {arXiv preprint arXiv:2407.16147},
year = {2025}
}
Comments
30 pages, Introduction revised