3 papers
math.AP2026
Maximizers for the Singular Trudinger-Moser functional beyond the critical regime
José Francisco de Oliveira, Manassés de Souza, Everaldo Medeiros
Our aim is to investigate the existence of local maximizers for the singular Trudinger-Moser functional $$ F_α(u) := \int_Ω \frac{e^{αu^2}-1}{|x|^{a}} \mathrm{d}x,\;\;\; u \in W…
math.AP2026
A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions
Ruan Diego da Silva Paiva, José Francisco de Oliveira
We establish a Trudinger-Moser type inequality with a Tintarev-type constraint in fractional-dimensional spaces and prove the existence of maximizers in the critical regime. Our re…
math.AP2025
Trudinger-Moser type inequalities for the Hessian equation with logarithmic weights
João Marcos do Ã, José Francisco de Oliveira, Raonà 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…