Hölder Continuity of the Minimizer of an Obstacle Problem with Generalized Orlicz Growth-Reference-Cited by-同舟云学术

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

Published:2021-06-21 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Karppinen Arttu¹,Lee Mikyoung²

Affiliation:

1. Department of Mathematics and Statistics, University of Turku, Turku FI-20014, Finland

2. Department of Mathematics, Pusan National University, Busan 46241, Republic of Korea

Abstract

Abstract We prove local $C^{0,\alpha }$- and $C^{1,\alpha }$-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.

Funder

Turku University Foundation

National Research Foundation of Korea

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab150/38711084/rnab150.pdf

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