51 citations · 144 across the 15 of their papers we have counts for
17 papers
A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices
Julián Haddad
We consider convex bodies in , the space of matrices of -rows and -columns. A special case of fiber-symmetrization in was recently in…
Higher-Order Lp Isoperimetric and Sobolev Inequalities
Julián Haddad, Dylan Langharst, Eli Putterman +2
Schneider introduced an inter-dimensional difference body operator on convex bodies and proved an associated inequality. In the prequel to this work, we showed that this concept ca…
Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies
Julián Haddad, Dylan Langharst, Eli Putterman +2
In 1970, Schneider introduced the th order difference body of a convex body, and also established the th-order Rogers-Shephard inequality. In this paper, we extend this idea…
Affine fractional Sobolev inequalities
Julián Haddad, Monika Ludwig
Sharp affine fractional Sobolev inequalities for functions on are established. The new inequalities are stronger than (and directly imply) the sharp fractional…
Affine Fractional Sobolev and Isoperimetric Inequalities
Julián Haddad, Monika Ludwig
Sharp affine fractional Sobolev inequalities for functions on are established. For each , the new inequalities are significantly stronger than (and directly im…
Stability of Hypersurfaces in Minkowsky Normed Spaces
J. Haddad, D. O. Silva
We extend to Minkowski spaces the classical result of Barbosa and do Carmo [1] that characterizes the euclidean sphere as the unique compact stable CMC hypersurface of $\mathbb R^n…
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…
A Convex Body Associated to the Busemann Random Simplex Inequality and the Petty conjecture
Julián Eduardo Haddad
Given a convex body, the -Busemann Random Simplex Inequality is closely related to the centroid body for and , and only in these cases it can be proved us…
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…
A global bifurcation theorem for critical values of maps in Banach spaces
Pablo Amster, Pierluigi Benevieri, Julian Haddad
We present a global bifurcation result for critical values of maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces.…
A Morse deformation lemma at infinity
Julián Haddad
We prove a generalized version of the classic deformation lemma from Morse Theory that considers functions going to at a compact set, and allowing the lower value 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.
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…
Continuous dependence on the derivative of generalized heat equations
Tertuliano Franco, Julián Haddad
We consider here a generalized heat equation , where is a finite measure on the one dimensional torus, and is the Radon-N…
On existence of periodic solutions for Kepler type problems
Pablo Amster, Julián Haddad
We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In the different cases, the lower bounds obtained f…