4 papers
Hardy-Sobolev inequalities involving mixed radially and cylindrically symmetric weights
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We deal with weighted Hardy-Sobolev type inequalities for functions on , . The weights involved are anisotropic, given by products of powers of the distance…
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…
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…