Improved H\"older regularity for strongly elliptic PDEs
Complex Variables
2022-10-07 v1 Analysis of PDEs
Abstract
We establish surprising improved Schauder regularity properties for solutions to the Leray-Lions divergence type equation in the plane. The results are achieved by studying the nonlinear Beltrami equation and making use of special new relations between these two equations. In particular, we show that solutions to an autonomous Beltrami equation enjoy a quantitative improved degree of H\"older regularity, higher than what is given by the classical exponent .
Keywords
Cite
@article{arxiv.1906.10906,
title = {Improved H\"older regularity for strongly elliptic PDEs},
author = {Kari Astala and Albert Clop and Daniel Faraco and Jarmo Jääskeläinen and Aleksis Koski},
journal= {arXiv preprint arXiv:1906.10906},
year = {2022}
}
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29 pages