29 citations · 38 across the 5 of their papers we have counts for
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math.AP2017★ 5 cited
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_…
math.AP2017★ 4 cited
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\…
math.AP2017
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…