2 papers
math.AP2025
Trudinger-Moser type inequalities for the Hessian equation with logarithmic weights
João Marcos do Ó, José Francisco de Oliveira, Raoní Cabral Ponciano
We establish sharp Trudinger-Moser inequalities with logarithmic weights for the -Hessian equation and investigate the existence of maximizers. Our analysis extends the classica…
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…