Marcos Montenegro

activity

20072022

most citedSharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality

51 citations · 99 across the 14 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020★ 15 cited

From affine Poincaré inequalities to affine spectral inequalities

Julián Haddad, Carlos Hugo Jiménez, Marcos Montenegro

Given a bounded open subset $Ω$ of $R^{n}$ , we establish the weak closure of the affine ball $B_{p}^{A} (Ω) = {f \in W_{0}^{1, p} (Ω) : E_{p} f \leq 1}$ with respe…

math.AP2020

Extremal solutions for a broad spectrum of nonlinear elliptic systems

Felipe Costa, Gil F. de Souza, Marcos Montenegro

In this work, we study the existence and nonexistence of solution for strongly coupled elliptic systems to m-parameters.