Regularity for double phase problems under additional integrability assumptions

Regularity for double phase problems under additional integrability assumptions

We study the regularity of quasi-minimizers or minimizers of functionals of double phase type. In recent years, Baroni, Colombo and Mingione have investigated regularity theory for bounded minimizers in Baroni et al. (2015, 2018); Colombo and Mingione (2015) . In this paper, we assume the minimizers...

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Veröffentlicht in:Nonlinear analysis 2020-05, Vol.194, p.111408, Article 111408
1. Verfasser: Ok, Jihoon
Format: Artikel
Sprache:eng
Schlagworte:
Double phase problem
Minimizer
Regularity
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Zusammenfassung:We study the regularity of quasi-minimizers or minimizers of functionals of double phase type. In recent years, Baroni, Colombo and Mingione have investigated regularity theory for bounded minimizers in Baroni et al. (2015, 2018); Colombo and Mingione (2015) . In this paper, we assume the minimizers only belong to Lγ-space.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2018.12.019