Davide Parise

activity

20182026

most citedWarped Tori with Almost Non-Negative Scalar Curvature

13 citations · 14 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.AP2026

Second order estimates on transition layers for the Allen-Cahn equation with homogeneous Neumann boundary conditions: Part I - Boundary-orthogonal transition layers

Akashdeep Dey, Wenkui Du, Davide Parise +1

We study stable solutions of the Allen-Cahn equation with homogeneous Neumann boundary condition on Riemannian manifolds with boundary in the regime where the transition layers mee…

math.AP2024★ 1 cited

Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents

Paul Minter, Davide Parise, Anna Skorobogatova +1

We prove that the singular set of an $m$ -dimensional integral current $T$ in $R^{n + m}$ , semicalibrated by a $C^{2, κ_{0}}$ $m$ -form $ω$ is countably $(m - 2)$ -rectifiable.…

math.AP2024

Quantitative stability of Sobolev inequalities on compact Riemannian manifolds

Francesco Nobili, Davide Parise

We study quantitative stability results for different classes of Sobolev inequalities on general compact Riemannian manifolds. We prove that, up to constants depending on the manif…