9 citations · 28 across the 7 of their papers we have counts for
7 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 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…
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)…
A gradient type term for the -Hessian equation
Mykael de Araújo Cardoso, Jefferson de Brito Sousa, José Francisco de Oliveira
In this paper, we propose a gradient type term for the -Hessian equation that extends for the classical quadratic gradient term associated with the Laplace equation. We pr…
On a sharp inequality of Adimurthi-Druet type and extremal functions
José Francisco de Oliveira, João Marcos do Ó
Our main purpose in this paper is to establish the existence and nonexistence of extremal functions for sharp inequality of Adimurthi-Druet type for fractional dimensions on the en…
Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions
José Francisco de Oliveira, João Marcos do Ó
We establish critical and subcritical sharp Trudinger-Moser inequalities for fractional dimensions on the whole space. Moreover, we obtain asymptotic lower and upper bounds for the…
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…