A1 Refereed original research article in a scientific journal

Global continuity and higher integrability of a minimizer of an obstacle problem under generalized Orlicz growth conditions



Authors: Arttu Karppinen

Publisher: Springer

Publication year: 2021

Journal: manuscripta mathematica

Journal name in source: Manuscripta Mathematica

Volume: 164

First page : 67

Last page: 94

Number of pages: 28

ISSN: 0025-2611

eISSN: 1432-1785

DOI: https://doi.org/10.1007/s00229-019-01173-2

Web address : https://link.springer.com/article/10.1007/s00229-019-01173-2

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/44958959


Abstract

We prove continuity up to the boundary of the minimizer of an obstacle problem and higher integrability of its gradient under generalized Orlicz growth. The result recovers similar results obtained in the special cases of polynomial growth, variable exponent growth and produces new results for Orlicz and double phase growth.


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Last updated on 2024-26-11 at 11:50