Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schr\"odinger term
Analysis of PDEs
2020-09-29 v1
Abstract
We prove in this paper the global Lorentz estimate in term of fractional-maximal function for gradient of weak solutions to a class of p-Laplace elliptic equations containing a non-negative Schr\"odinger potential which belongs to reverse H\"older classes. In particular, this class of p-Laplace operator includes both degenerate and non-degenerate cases. The interesting idea is to use an efficient approach based on the level-set inequality related to the distribution function in harmonic analysis.
Keywords
Cite
@article{arxiv.2009.12527,
title = {Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schr\"odinger term},
author = {Minh-Phuong Tran and Thanh-Nhan Nguyen and Gia-Bao Nguyen},
journal= {arXiv preprint arXiv:2009.12527},
year = {2020}
}
Comments
19 pages