51 citations · 144 across the 15 of their papers we have counts for
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math.AP2015★ 2 cited
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.
math.FA2015★ 51 cited
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…
math.AP2015★ 2 cited
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…