Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation

Year of publication

2022

Authors

Siltakoski, Jarkko

Abstract

We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, inf⁡p>1, and f is continuous and bounded.

Organizations and authors

University of Jyväskylä

Siltakoski Jarkko

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/Series

Journal of Mathematical Analysis and Applications

Publisher

Elsevier Inc.

Volume

513

Issue

Article number

126187

ISSN

0022-247X

Publication forum

60953

Publication forum level

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Partially open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object]

Publication country

United States

Internationality of the publisher

International

Language

English

International co-publication

Co-publication with a company

DOI

10.1016/j.jmaa.2022.126187

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

Yes