Open AccessHölder regularity of quasiminimizers under generalized growth conditions
Author(s) -
Petteri Harjulehto,
Peter Hästö,
Olli Toivanen
Publication year - 2017
Publication title -
calculus of variations and partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.329
H-Index - 76
eISSN - 1432-0835
pISSN - 0944-2669
DOI - 10.1007/s00526-017-1114-z
Subject(s) - mathematics , exponent , hölder condition , pure mathematics , harnack's principle , harnack's inequality , polynomial , inequality , mathematical analysis , philosophy , linguistics
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 Hölder continuity of local (quasi)minimizers. The results include as special cases standard, variable exponent and double phase growth.
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