51 citations · 99 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality
Julian Haddad, C. Hugo Jimenez, Marcos Montenegro
We show that the $\Lp$ Busemann-Petty centroid inequality provides an elementary and powerful tool to the study of some sharp affine functional inequalities with a geometric conten…
The C^r dependence problem of eigenvalues of the Laplace operator on domains in the plane
Julian Haddad, Marcos Montenegro
The C^r dependence problem of multiple Dirichlet eigenvalues on domains is discussed for elliptic operators by regarding smooth one-parameter families of C^1 perturbations of domai…