arXiv:1906.01866 Abstract | arXiv Analytics

arXiv:1906.01866 [math.AP]Abstract References Reviews Resources

Hölder continuity of quasiminimizers and $ω$-minimizers of functionals with generalized Orlicz growth

Petteri Harjulehto, Peter Hästö, Mikyoung Lee

Published 2019-06-05Version 1

We show local H\"older 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 H\"older continuity for $\omega$-minimizers.

Categories: math.AP, math.FA

Keywords: generalized orlicz growth, hölder continuity, quasiminimizers, morrey type estimate, ekelands variational principle

Related articles: Most relevant | Search more

arXiv:2006.08244 [math.AP] (Published 2020-06-15)

Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Arttu Karppinen, Mikyoung Lee

arXiv:2104.06436 [math.AP] (Published 2021-04-13)

Regularity properties for quasiminimizers of a $(p,q)$-Dirichlet integral

Antonella Nastasi, Cintia Pacchiano Camacho

arXiv:2106.01749 [math.AP] (Published 2021-06-03)

PWB-method and Wiener criterion for boundary regularity under generalized Orlicz growth

Allami Benyaiche, Ismail Khlifi