A. Macedo

collaborators

3 papers

math.AP2025

Adams-Trudinger-Moser inequalities of Adimurthi-Druet type regulated by the vanishing phenomenon and its extremals

Abiel Costa Macedo, José Francisco de Oliveira, Fábio Sodré Rocha

Let $W^{m, \frac{n}{m}} (R^{n})$ with $1 \leq m < n$ be the standard higher order derivative Sobolev space in the critical exponential growth threshold. We investigate a new Ada…

math.AP2024

On a quadratic gradient natural term for the Pucci extremal operators

José Francisco de Oliveira, João Marcos do Ó, 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…

math.GM2024

Grüss inequalities for the $β -$ integral associated with the general quantum operator

J. L. Cardoso, N. Haque, A. Macedo

Assume that $I \subseteq R$ is an interval and $β : I \to I$ a strictly increasing and continuous function with a single fixed point $s_{0} \in I$ , satisfyi…

Adams-Trudinger-Moser inequalities of Adimurthi-Druet type regulated by the vanishing phenomenon and its extremals

On a quadratic gradient natural term for the Pucci extremal operators

Grüss inequalities for the β−integral associated with the general quantum operator

Grüss inequalities for the $β -$ integral associated with the general quantum operator