Hölder regularity of quasiminimizers under generalized growth conditions
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli (2017-02-09)
Harjulehto, Petteri
Hästö, Peter
Toivanen, Olli
Springer Nature
09.02.2017
Harjulehto, P., Hästö, P. & Toivanen, O. Calc. Var. (2017) 56: 22. https://doi.org/10.1007/s00526-017-1114-z
https://rightsstatements.org/vocab/InC/1.0/
© Springer-Verlag Berlin Heidelberg 2017. This is a post-peer-review, pre-copyedit version of an article published in Calculus of Variations and Partial Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s00526-017-1114-z.
https://rightsstatements.org/vocab/InC/1.0/
© Springer-Verlag Berlin Heidelberg 2017. This is a post-peer-review, pre-copyedit version of an article published in Calculus of Variations and Partial Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s00526-017-1114-z.
https://rightsstatements.org/vocab/InC/1.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2019032810312
https://urn.fi/URN:NBN:fi-fe2019032810312
Tiivistelmä
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 Hölder continuity of local (quasi)minimizers. The results include as special cases standard, variable exponent and double phase growth.
Kokoelmat
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