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

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Showing 2023Show all

3 papers · 1 filter

math.AP2023

The Cheeger constant as limit of Sobolev-type constants

Grey Ercole

Let $Ω$ be a bounded, smooth domain of $R^{N},$ $N \geq 2.$ For $1 < p < N$ and $0 < q (p) < p^{*} := \frac{N p}{N - p}$ let \[ λ_{p,q(p)}:=\inf\left\{ \int_Ω\left\vert \nabla u\right\…

math.AP2023

The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms

Anderson L. A. de Araujo, Grey Ercole, Julio C. Lanazca Vargas

We consider, for $a, l \geq 1,$ $b, s, α > 0,$ and $p > q \geq 1,$ the homogeneous Dirichlet problem for the equation $-Δ_{p}u=λu^{q-1}+βu^{a-1}\left\vert \nabla u\right\vert ^{b}+mu^{l-1}e^{…

math.AP2023

On a global gradient estimate in $p$ -Laplacian problems

Grey Ercole

We make explicit the $p$ -dependence of $C$ in the gradient estimate $∥ \nabla u ∥_{\infty}^{p - 1} \leq C ∥ f ∥_{N, 1}$ by Cianchi and Maz'ya (2011…

The Cheeger constant as limit of Sobolev-type constants

The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms

On a global gradient estimate in p-Laplacian problems

On a global gradient estimate in $p$ -Laplacian problems