A1 Refereed original research article in a scientific journal

Hölder continuity of omega-minimizers of functionals with generalized Orlicz growth



Authors: Harjulehto Petteri, Hästö Peter, Lee Mikyoung

Publisher: SCUOLA NORMALE SUPERIORE

Publication year: 2021

Journal: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze

Journal name in source: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE

Journal acronym: ANN SCUOLA NORM-SCI

Volume: 22

Issue: 2

First page : 549

Last page: 582

Number of pages: 34

ISSN: 0391-173X

DOI: https://doi.org/10.2422/2036-2145.201908_015(external)

Self-archived copy’s web address: https://arxiv.org/pdf/1906.01866.pdf(external)


Abstract
We show local Holder continuity of quasiminimizers of functionals with non-standard (Musielak-Orlicz) growth. Compared with previous results, we cover more general minimizing functionals and need fewer assumptions. We prove Harnack's inequality and a Morrey type estimate for quasiminimizers. Combining this with Ekeland's variational principle, we obtain local Holder continuity for omega-minimizers.



Last updated on 2024-26-11 at 17:47