2 papers
math.AP2026
Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator
José Francisco de Oliveira, Jeferson Silva
Our main goal is to explicitly compute the best constant for the Sobolev-type inequality involving the polyharmonic operator obtained in (Analysis and Applications 22, pp. 1417-144…
math.AP2024
On a quadratic gradient natural term for the Pucci extremal operators
José Francisco de Oliveira, João Marcos do Ã, 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…