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math.AP2023
Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth
Michela Eleuteri, Antonia Passarelli di Napoli
We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth condition…
math.AP2023
Higher regularity for weak solutions to degenerate parabolic problems
Andrea Gentile, Antonia Passarelli di Napoli
In this paper, we study the regularity of weak solutions to the following strongly degenerate parabolic equation \begin{equation*} u_t-÷\left(\left(\left|Du\right|-1\right)_+^{p-1}…