Hölder Continuity of the Minimizer of an Obstacle Problem with Generalized Orlicz Growth - UTU Research Portal

A1 Refereed original research article in a scientific journal

Hölder Continuity of the Minimizer of an Obstacle Problem with Generalized Orlicz Growth

Authors: Karppinen Arttu, Lee Mikyoung

Publisher: OXFORD UNIV PRESS

Publication year: 2022

Journal: International Mathematics Research Notices

Journal name in source: INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Journal acronym: INT MATH RES NOTICES

Article number: rnab150

Number of pages: 42

ISSN: 1073-7928

eISSN: 1687-0247

DOI: https://doi.org/10.1093/imrn/rnab150

Publication's open availability at the time of reporting: No Open Access

Publication channel's open availability : Partially Open Access publication channel

Web address : https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnab150/6307012

Preprint address: https://arxiv.org/abs/2006.08244v1

Abstract

We prove local C-0,C-alpha - and C-1,C-alpha-regularity for the local solution to an obstacle problem with nonstandard growth. These results cover as special cases standard, variable exponent, double phase, and Orlicz growth.