A1 Refereed original research article in a scientific journal

Hölder regularity of quasiminimizers under generalized growth conditions



Authors: Petteri Harjulehto, Peter Hästö, Olli Toivanen

Publisher: SPRINGER HEIDELBERG

Publication year: 2017

Journal: Calculus of Variations and Partial Differential Equations

Journal name in source: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Journal acronym: CALC VAR PARTIAL DIF

Article number: ARTN 22

Volume: 56

Issue: 2

Number of pages: 26

ISSN: 0944-2669

eISSN: 1432-0835

DOI: https://doi.org/10.1007/s00526-017-1114-z


Abstract
We prove Harnack's inequality for local (quasi) minimizers in generalized Orlicz spaces without polynomial growth or coercivity conditions. As a consequence, we obtain the local Holder continuity of local (quasi) minimizers. The results include as special cases standard, variable exponent and double phase growth.



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