12 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…
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 vanishe…
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…
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…
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 \ }΅