3 papers
math.AP2024
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…
math.AP2023
On a Sobolev-type inequality and its minimizers
José Francisco de Oliveira, Jeferson Silva
Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associate…
math.AP2023
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)…