2 citations · 2 across the 3 of their papers we have counts for
4 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,…