Davide Giovagnoli

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20242026

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math.AP2026

Hölder gradient estimates for fractional $p$ -caloric functions

Davide Giovagnoli, David Jesus, Luis Silvestre

We establish interior $C^{1, α}$ regularity estimates, for some $α > 0$ , for fractional $p$ -caloric functions when $p$ is in the range $p \in (2, 2/ (1 - s))$ . As a consequence, we deduc…

math.AP2026

A transmission problem arising from the two-phase Stefan problem

Fausto Ferrari, Davide Giovagnoli, David Jesus

We study a parabolic transmission problem whose interface condition depends on the time derivative of the solution. This model arises naturally as the linearized limiting profile o…

math.AP2026

Weighted Perimeters and pth Moments of Inertia of Convex Curves and Surfaces

Gyula Csató, Davide Giovagnoli, Prosenjit Roy

We study a shape optimization problem among convex bodies in $R^{n}$ that minimize or maximize weighted perimeters of the form $\int_{\partialΩ} ϕ(|x|) \, \mathrm{d} H^{n-1}…

Hölder gradient estimates for fractional p-caloric functions

A transmission problem arising from the two-phase Stefan problem

Weighted Perimeters and pth Moments of Inertia of Convex Curves and Surfaces

Hölder gradient estimates for fractional $p$ -caloric functions