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Improved Hölder regularity for strongly elliptic PDEs

Year of publication

2020

Authors

Astala, Kari; Clop, Albert; Faraco, Daniel; Jääskeläinen, Jarmo; Koski, Aleksis

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 Hölder regularity, higher than what is given by the classical exponent 1/K.
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Organizations and authors

University of Jyväskylä

Koski Aleksis

Jääskeläinen Jarmo

Aalto University

Astala Kari

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal

Journal de mathematiques pures et appliquees

Publisher

Elsevier Masson

Volume

140

Pages

230-258

ISSN

0021-7824

​Publication forum

59382

​Publication forum level

3

Open access

Open access in the publisher’s service

No

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

No

DOI

10.1016/j.matpur.2020.06.005

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes