A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Hölder Continuity of the Minimizer of an Obstacle Problem with Generalized Orlicz Growth
Tekijät: Karppinen Arttu, Lee Mikyoung
Kustantaja: OXFORD UNIV PRESS
Julkaisuvuosi: 2022
Journal: International Mathematics Research Notices
Tietokannassa oleva lehden nimi: INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Lehden akronyymi: INT MATH RES NOTICES
Artikkelin numero: rnab150
Sivujen määrä: 42
ISSN: 1073-7928
eISSN: 1687-0247
DOI: https://doi.org/10.1093/imrn/rnab150
Verkko-osoite: https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnab150/6307012
Preprintin osoite: https://arxiv.org/abs/2006.08244v1
Tiivistelmä
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.
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.