12 citations · 26 across the 13 of their papers we have counts for
5 papers · 2 filters
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…