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



: Karppinen Arttu, Lee Mikyoung

Publisher: OXFORD UNIV PRESS

: 2022

 International Mathematics Research Notices

: INTERNATIONAL MATHEMATICS RESEARCH NOTICES

: INT MATH RES NOTICES

:  rnab150

: 42

: 1073-7928

: 1687-0247

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

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

: https://arxiv.org/abs/2006.08244v1


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.



Last updated on 26/11/2024 12:04:32 PM