Improved Hölder regularity for strongly elliptic PDEs

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

Aaltodoc
→
6b Artikkelit / Articles from Research information portal
→
[article-cris] Perustieteiden korkeakoulu / SCI
→
View Item

Improved Hölder regularity for strongly elliptic PDEs

Altmetrics



Title:	Improved Hölder regularity for strongly elliptic PDEs
Author(s):	Astala, Kari ; Clop, Albert ; Faraco, Daniel ; Jääskeläinen, Jarmo ; Koski, Aleksis
Date:	2020-08
Language:	en
Pages:	230-258
Department:	Department of Mathematics and Systems Analysis University of Barcelona Ramón y Cajal University Hospital University of Jyväskylä
Series:	Journal des Mathematiques Pures et Appliquees, Volume 140
ISSN:	0021-7824
DOI-number:	10.1016/j.matpur.2020.06.005
Keywords:	Beltrami equation, Elliptic equations, Hölder regularity, Quasiconformal mappings
» Show full item record
This publication is imported from Aalto University Research information portal: https://research.aalto.fi > View this publication in Research information portal > Other link related to publication (Research information portal) > View/Open full text file from Research information portal
Citation: Astala , K , Clop , A , Faraco , D , Jääskeläinen , J & Koski , A 2020 , ' Improved Hölder regularity for strongly elliptic PDEs ' , Journal des Mathematiques Pures et Appliquees , vol. 140 , pp. 230-258 . https://doi.org/10.1016/j.matpur.2020.06.005
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.

Permanent link to this item: http://urn.fi/URN:NBN:fi:aalto-2020113020672 Email this Export to RefWorks QR Code Print BibTex Tweet