9 citations · 14 across the 5 of their papers we have counts for
5 papers
On a quadratic gradient natural term for the Pucci extremal operators
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla +1
We introduce a quadratic gradient type term for the Pucci extremal operators. Our analysis demonstrates that this proposed term extends the classical quadratic gradient term associ…
On a supercritical k-Hessian inequality of Trudinger-Moser type and extremal functions
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla
We establish a supercritical Trudinger-Moser type inequality for the -Hessian operator on the space of the -admissible radially symmetric functions $Φ^{k}_{0,\mathrm{rad}}(B)…
Extremal functions for a supercritical k-Hessian inequality of Sobolev-type
José Francisco de Oliveira, Pedro Ubilla
Our main purpose in this paper is to investigate a supercritical Sobolev-type inequality for the -Hessian operator acting on , the space of radially s…
Elliptic equations involving the -Laplacian and a gradient term having natural growth
Djairo G. de Figueiredo, Jean-Pierre Gossez, Humberto Ramos Quoirin +1
We investigate the problem $$ \left\{ \begin{array}{ll} -Δ_p u = g(u)|\nabla u|^p + f(x,u) \ & \mbox{in} \ \ Ω, \ \ \\ u>0 \ &\mbox{in} \ \ Ω, \ \ u = 0 \ &\mbox{on} \ \ \partialΩ,…
Local minimizers in spaces of symmetric functions and applications
Leonelo Iturriaga, Ederson Moreira dos Santos, Pedro Ubilla
We study versus local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\math…