H\"older continuity of $\omega$-minimizers of functionals with generalized Orlicz growth
Analysis of PDEs
2022-08-09 v3 Functional Analysis
Abstract
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 -minimizers.
Keywords
Cite
@article{arxiv.1906.01866,
title = {H\"older continuity of $\omega$-minimizers of functionals with generalized Orlicz growth},
author = {Petteri Harjulehto and Peter Hästö and Mikyoung Lee},
journal= {arXiv preprint arXiv:1906.01866},
year = {2022}
}
Comments
This manuscript was previously titled "H\"older continuity of quasiminimizers and $\omega$-minimizers of functionals with generalized Orlicz growth"