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math.AP2022
Lipschitz regularity of minimizers of variational integrals with variable exponents
Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the form \[ \mathfrak{F}( v, Ω)= \int_Ω \! F(x, Dv(x)) \, dx, \] where, for…
math.AP2022★ 15 cited
Regularity results for a class of widely degenerate parabolic equations
Pasquale Ambrosio, Antonia Passarelli di Napoli
Motivated by applications to gas filtration problems, we study the regularity of weak solutions to the strongly degenerate parabolic PDE $u_{t}-\mathrm{div}\left((\vert Du\vert-ν)_…