2 papers
math.AP2025
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 supercritical Hardy-Sobolev type inequality with logarithmic term and related extremal problem
José Francisco de Oliveira, Jeferson Silva
Our main goal is to investigate supercritical Hardy-Sobolev type inequalities with a logarithmic term and their corresponding variational problem. We prove the existence of extrema…