A generalized parabolic De Giorgi class with unbalanced growth is shown to have locally bounded members under sharp integrability assumptions, with quantitative supremum estimates.
Cianchi, Local boundedness of minimizers of anisotropic functionals, Ann
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Parabolic De Giorgi classes with doubly nonlinear, nonstandard growth: local boundedness under exact integrability assumptions
A generalized parabolic De Giorgi class with unbalanced growth is shown to have locally bounded members under sharp integrability assumptions, with quantitative supremum estimates.