Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth
نویسندگان
چکیده
We show local H\"older continuity of quasiminimizers functionals with non-standard (Musielak--Orlicz) growth. Compared previous results, we cover more general minimizing and need fewer assumptions. prove Harnack's inequality a Morrey type estimate for quasiminimizers. Combining this Ekeland's variational principle, obtain $\omega$-minimizers.
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ژورنال
عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2021
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.201908_015