A Remark on Global $W^{1,p}$ Bounds for Harmonic Functions with Lipschitz Boundary Values
Analysis of PDEs
2016-07-04 v2
Abstract
In this note we show that gradient of Harmonic functions on a smooth domain with Lipschitz boundary values is pointwise bounded by a universal function which is in for all finite .
Keywords
Cite
@article{arxiv.1601.00190,
title = {A Remark on Global $W^{1,p}$ Bounds for Harmonic Functions with Lipschitz Boundary Values},
author = {Nikos Katzourakis},
journal= {arXiv preprint arXiv:1601.00190},
year = {2016}
}
Comments
8 pages, Journal: Glasnik Matematicki