29 citations · 38 across the 5 of their papers we have counts for
9 papers
Weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders
Friedemann Brock, Francesco Chiacchio, Adele Ferone +1
In this paper weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders are proved. A weighted isoperimetric inequality is also obtained.
Steiner symmetrization for anisotropic quasilinear equations via partial discretization
Friedemann Brock, Jesús Ildefonso Díaz, Adele Ferone +2
In this paper we obtain comparison results for the quasilinear equation with homogeneous Dirichlet boundary conditions by Steiner rearrangement in variabl…
Finsler Hardy-Kato's inequality
Angelo Alvino, Adele Ferone, Anna Mercaldo +2
We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends the former one obtai…
The Stokes paradox in inhomogeneous elastostatics
Adele Ferone, Remigio Russo, Alfonsina Tartaglione
We prove that the displacement problem of inhomogeneous elastostatics in a two--dimensional exterior Lipschitz domain has a unique solution with finite Dirichlet integral $\u$, van…
On Luzin N-property and uncertainty principle for the Sobolev mappings
Adele Ferone, Mikhail V. Korobkov, Alba Roviello
We study Luzin N-property with respect to the Hausdorff measures for Sobolev spaces W^k_p(R^n,R^d). We prove that such N-property holds except for one critical dimensional value t_…
On some universal Morse-Sard type Theorem
Adele Ferone, Mikhail V. Korobkov, Alba Roviello
The classical Morse--Sard theorem claims that for a mapping of class the measure of critical values is zero under condition $k\…
New Pólya-Szegö-type inequalities and an alternative approach to comparison results for PDE's
Friedemann Brock, Adele Ferone, Francesco Chiacchio +1
We prove some Pólya-Szegö type inequalities which involve couples of functions and their rearrangements. Our inequalities reduce to the classical Pólya-Szegö principle when the two…
On the extremals of the Pólya-Szegő inequality
Almut Burchard, Adele Ferone
The distance of an extremal of the Pólya-Szegő inequality from a translate of its symmetric decreasing rearrangement is controlled by the measure of the set of critical points.
Sharp Hardy inequalities in the half space with trace remainder term
Angelo Alvino, Adele Ferone, Roberta Volpicelli
In this paper we deal with a class of inequalities which interpolate the Kato's inequality and the Hardy's inequality in the half space. Starting from the classical Hardy's inequal…