51 citations · 99 across the 14 of their papers we have counts for
16 papers
Least energy solutions for affine -Laplace equations involving subcritical and critical nonlinearities
Edir Junior Ferreira Leite, Marcos Montenegro
The paper is concerned with Lane-Emden and Brezis-Nirenberg problems involving the affine -laplace nonlocal operator , which has been introduced in \cite{HJM5} dri…
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…
From affine Poincaré inequalities to affine spectral inequalities
Julián Haddad, Carlos Hugo Jiménez, Marcos Montenegro
Given a bounded open subset of , we establish the weak closure of the affine ball with respe…
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.
Asymmetric Blaschke-Santaló functional inequalities
Julian Haddad, C. Hugo Jimenez, Marcos Montenegro
In this work we establish functional asymmetric versions of the celebrated Blaschke-Santaló inequality. As consequences of these inequalities we recover their geometric counterpart…
Sharp affine weighted Sobolev type inequalities
Julian Haddad, Carlos Hugo Jiménez, Marcos Montenegro
We establish sharp affine weighted Sobolev type inequalities by using the Busemann-Petty centroid inequality proved by Lutwak, Yang and Zhang. Our approach consists in…