6 citations · 10 across the 9 of their papers we have counts for
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Optimal partition and segregation problems driven by torsional rigidity
Gabriele Fioravanti, Nicola Soave, Giorgio Tortone
Spectral optimal partition and segregation problems are deeply connected with harmonic maps, eigenfunctions, and the fine structure of nodal sets for linear elliptic equations. In…
A Priori Regularity Estimates for Ratio of Solutions to Elliptic Equations with a Product Structure of Two-Dimensional Nodal Sets
Gabriele Fioravanti
In this paper, we establish optimal a priori regularity estimates for the ratio of two solutions to the same elliptic equation $-\operatorname{div}(A \nabla u )…
Regularity for elliptic equations with monomial weights
Gabriele Cora, Gabriele Fioravanti, Francesco Pagliarin +1
We study regularity properties for solutions to elliptic equations that are degenerate or singular along orthogonal hyperplanes. The degenerate ellipticity is carried out by a weig…
Remarks on elliptic equations degenerating on lower dimensional manifolds
Gabriele Cora, Gabriele Fioravanti, Stefano Vita
The paper continues the analysis started in [Cora-Fioravanti-Vita-25,Fioravanti-24] on the local regularity theory for elliptic equations having coefficients which are degenerate o…
Extinction rates for nonradial solutions to the Stefan problem
Gabriele Fioravanti, Xavier Ros-Oton, Clara Torres-Latorre
We consider the one-phase Stefan problem describing the evolution of melting ice. On the one hand, we focus on understanding the evolution of the free boundary near isolated singul…
Schauder estimates for elliptic equations degenerating on lower dimensional manifolds
Gabriele Cora, Gabriele Fioravanti, Stefano Vita
In this paper we begin exploring a local regularity theory for elliptic equations having coefficients which are degenerate or singular on some lower dimensional manifold $$ -\mathr…
The Dirichlet problem on lower dimensional boundaries: Schauder estimates via perforated domains
Gabriele Fioravanti
In this paper, we investigate the Dirichlet problem on lower dimensional manifolds for a class of weighted elliptic equations with coefficients that are singular on such sets. Spec…
Higher order Schauder estimates for degenerate or singular parabolic equations
Alessandro Audrito, Gabriele Fioravanti, Stefano Vita
In this paper, we complete the analysis initiated in [AFV24] establishing some higher order Schauder estimates () for a a class of parabolic equations…
Schauder estimates for parabolic equations with degenerate or singular weights
Alessandro Audrito, Gabriele Fioravanti, Stefano Vita
We establish some and regularity estimates for a class of weighted parabolic problems in divergence form. The main novelty is that the weights may vanish or exp…