32 citations · 156 across the 21 of their papers we have counts for
22 papers
Asymptotics for Sobolev extremals: the hyperdiffusive case
Grey Ercole
Let be a bounded, smooth domain of For and set \[ λ_{p,q(p)}:=\inf\left\{ \int_Ω\left\vert \nabla u\right\vert ^{p}\mathrm…
The Cheeger constant as limit of Sobolev-type constants
Grey Ercole
Let be a bounded, smooth domain of For and let \[ λ_{p,q(p)}:=\inf\left\{ \int_Ω\left\vert \nabla u\right\…
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 and 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^{…
On a global gradient estimate in -Laplacian problems
Grey Ercole
We make explicit the -dependence of in the gradient estimate by Cianchi and Maz'ya (2011…
An optimal pointwise Morrey-Sobolev inequality
Grey Ercole, Gilberto de Assis Pereira
Let be a bounded, smooth domain of For each we study the optimal function in the pointwise inequality \[ \left\vert v(x)\right\vert…
Torsion functions and the Cheeger problem: a fractional approach
Hamilton Bueno, Grey Ercole, Shirley S. Macedo +1
Let be a Lipschitz bounded domain of , . The fractional Cheeger constant , , is defined by \[h_s(Ω)=\inf_{E\subsetΩ}\frac{P_s(E)}{|E|},\:…