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math.AP2023★ 1 cited
On the gradient rearrangement of functions
Vincenzo Amato, Andrea Gentile, Carlo Nitsch +1
In this paper, we introduce a symmetrization technique for the gradient of a $\BV$ function, which separates its absolutely continuous part from its singular part (sum of the jump…
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}…