12 citations · 26 across the 13 of their papers we have counts for
14 papers
Edge asymptotics for weighted Robin equations on cylinders with applications to spectral fractional Laplacians
Alessandra De Luca, Veronica Felli, Stefano Vita
For a class of weighted degenerate or singular problems on a cylinder, Almgren-type monotonicity methods are employed to derive asymptotic estimates of solutions near the edge betw…
Local regularity for anisotropic magnetic operators with general codimension singularities
Giovanni Siclari, Stefano Vita
We study local regularity properties of solutions to stationary anisotropic magnetic Schrödinger equations in , , arising from singular magnetic potentials c…
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…
Notes on Schauder estimates by scaling for elliptic PDEs in divergence form
Stefano Vita
These are the notes of a part of the PhD course Regularity for free boundary problems and for elliptic PDEs, held in Pavia in the spring of 2025. The aim is to provide a comprehens…
A priori Hölder estimates for equations degenerating on nodal sets
Susanna Terracini, Giorgio Tortone, Stefano Vita
We prove a priori Hölder bounds for continuous solutions to degenerate equations with variable coefficients of type $$ \mathrm{div}\left(u^2 A\nabla w\right)=0\quad\mathrm{in \ }Ω\…
Remarks on elliptic equations degenerating on lower dimensional manifolds
Gabriele Cora, Gabriele Fioravanti, Stefano Vita
The paper continues the analysis started in [Cora-Fioravanti-Vita-25,Fioravanti-24] on the local regularity theory for elliptic equations having coefficients which are degenerate o…
Schauder estimates for elliptic equations degenerating on lower dimensional manifolds
Gabriele Cora, Gabriele Fioravanti, Stefano Vita
In this paper we begin exploring a local regularity theory for elliptic equations having coefficients which are degenerate or singular on some lower dimensional manifold $$ -\mathr…
Unique continuation from conical boundary points for fractional equations
Alessandra De Luca, Veronica Felli, Stefano Vita
We provide fine asymptotics of solutions of fractional elliptic equations at boundary points where the domain is locally conical; that is, corner type singularities appear. Our met…
Boundary unique continuation in planar domains by conformal mapping
Stefano Vita
Let be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes…
A priori regularity estimates for equations degenerating on nodal sets
Susanna Terracini, Giorgio Tortone, Stefano Vita
We prove a priori and a posteriori Hölder bounds and Schauder estimates for continuous solutions of degenerate elliptic equations with variable coefficients of the form $…
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…
Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients
Hongjie Dong, Seongmin Jeon, Stefano Vita
In this paper, we study degenerate or singular elliptic equations in divergence form Whe…
Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations
Alessandra De Luca, Veronica Felli, Stefano Vita
We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a b…