G. Ercole

activity

20102024

most citedSolutions of the Cheeger problem via torsion functions

32 citations · 156 across the 21 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020

An optimal pointwise Morrey-Sobolev inequality

Grey Ercole, Gilberto de Assis Pereira

Let $Ω$ be a bounded, smooth domain of $R^{N},$ $N \geq 1.$ For each $p > N$ we study the optimal function $s = s_{p}$ in the pointwise inequality \[ \left\vert v(x)\right\vert…

math.AP2020★ 4 cited

Torsion functions and the Cheeger problem: a fractional approach

Hamilton Bueno, Grey Ercole, Shirley S. Macedo +1

Let $Ω$ be a Lipschitz bounded domain of $R^{N}$ , $N \geq 2$ . The fractional Cheeger constant $h_{s} (Ω)$ , $0 < s < 1$ , is defined by \[h_s(Ω)=\inf_{E\subsetΩ}\frac{P_s(E)}{|E|},\:…