51 citations · 99 across the 14 of their papers we have counts for
9 papers · 1 filter
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…
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.
The Brezis-Nirenberg problem for fractional elliptic operators
Ko-Shin Chen, Marcos Montenegro, Xiaodong Yan
In the present paper, we study the effect of an elliptic operator in divergence form L defined in a bounded open set on the existence and nonexistence of positive solutions of the…
A note on borderline Brezis-Nirenberg type problems
Julian Haddad, Marcos Montenegro
We study the effect of ellipticity points on the boundary in the Brezis-Nirenberg problem for elliptic operators in divergence form.
On positive viscosity solutions of fractional Lane-Emden systems
Edir Leite, Marcos Montenegro
We discuss on existence, nonexistence and uniqueness of positive viscosity solutions for Lane-Emden systems involving the fractional Laplacian on bounded domains. As a byproduct, w…