2 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_0^…
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…