2 papers
math.FA2023
Fixed Point Theorem: Variants, Affine Context and Some Consequences
Anderson Luis Albuquerque de Araujo, Edir Junior Ferreira Leite
In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer's Fixed Point Theorem. For instance, the affin…
math.FA2021
Minimization to the Zhang's energy on and sharp affine Poincaré-Sobolev inequalities
Edir Junior Ferreira Leite, Marcos Montenegro
We prove the existence of minimizers for some constrained variational problems on , under subcritical and critical restrictions, involving the affine energy introduced by Zh…