Search Results - "PRATELLI, Aldo"

The Sharp Quantitative Isoperimetric Inequality by Fusco, N., Maggi, F., Pratelli, A.

“…A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by Hall…”
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The ε - εβ Property in the Isoperimetric Problem with Double Density, and the Regularity of Isoperimetric Sets by Pratelli Aldo, Saracco Giorgio

“…We prove the validity of the ε-εβ{\varepsilon-\varepsilon^{\beta}} property in the isoperimetric problem with double density, generalising the known properties…”
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Quantitative stability in the isodiametric inequality via the isoperimetric inequality by MAGGI, FRANCESCO, PONSIGLIONE, MARCELLO, PRATELLI, ALDO

“…The isodiametric inequality is derived from the isoperimetric inequality through a variational principle, establishing that balls maximize the perimeter among…”
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A note on Cheeger sets by Figalli, Alessio, Maggi, Francesco, Pratelli, Aldo

“…Starting from the quantitative isoperimetric inequality, we prove a sharp quantitative version of the Cheeger inequality…”
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Equivalence between some definitions for the optimal mass transport problem and for the transport density on manifolds by Pratelli, Aldo

“…In this paper we consider three problems, which are related to the classical Monge’s optimal mass transport problem and which are known to be equivalent when…”
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On the bi-Sobolev planar homeomorphisms and their approximation by Pratelli, Aldo

“…The first goal of this paper is to give a short description of the planar bi-Sobolev homeomorphisms, providing simple and self-contained proofs for some…”
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On the isoperimetric problem with double density by Pratelli, Aldo, Saracco, Giorgio

“…In this paper we consider the isoperimetric problem with double density in Euclidean space; that is, we study the minimisation of the perimeter among subsets…”
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Cylindrical estimates for the Cheeger constant and applications by Pratelli, Aldo, Saracco, Giorgio

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Existence of minimizers for spectral problems by Mazzoleni, Dario, Pratelli, Aldo

“…In this paper we show that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of…”
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On the Cheeger sets in strips and non-convex domains by Leonardi, Gian Paolo, Pratelli, Aldo

“…In this paper we consider the Cheeger problem for non-convex domains, with a particular interest in the case of planar strips, which have been extensively…”
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Existence of isoperimetric regions in with density by Morgan, Frank, Pratelli, Aldo

“…We prove the existence of isoperimetric regions in with density under various hypotheses on the growth of the density. Along the way, we prove results on the…”
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Sharp Stability of Some Spectral Inequalities by Brasco, Lorenzo, Pratelli, Aldo

“…In this work we review two classical isoperimetric inequalities involving eigenvalues of the Laplacian, both with Dirichlet and Neumann boundary conditions…”
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Lipschitz Regularity of the Eigenfunctions on Optimal Domains by Bucur, Dorin, Mazzoleni, Dario, Pratelli, Aldo, Velichkov, Bozhidar

“…We study the optimal sets Ω * ⊆ R d for spectral functionals of the form F ( λ 1 ( Ω ) , … , λ p ( Ω ) ) , which are bi-Lipschitz with respect to each of the…”
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Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms by Mora-Corral, Carlos, Pratelli, Aldo

“…We prove that any countably piecewise affine homeomorphism from an open set of ℝ 2 can be approximated, together with its inverse, by diffeomorphisms in the W…”
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Existence of Isoperimetric Sets with Densities “Converging from Below” on R N by De Philippis, Guido, Franzina, Giovanni, Pratelli, Aldo

“…In this paper, we consider the isoperimetric problem in the space R N with a density. Our result states that, if the density f is lower semi-continuous and…”
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Shapes of Epitaxially Grown Quantum Dots by Fonseca, Irene, Pratelli, Aldo, Zwicknagl, Barbara

“…A variational model introduced by Spencer and Tersoff (Appl. Phys. Lett. 96:073114, 2010 ) to describe optimal faceted shapes of epitaxially deposited films is…”
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KANTOROVICH POTENTIALS AND CONTINUITY OF TOTAL COST FOR RELATIVISTIC COST FUNCTIONS by Bertrand, Jérôme, Pratelli, Aldo, Puel, Marjolaine

“…In this paper we consider the optimal mass transport problem for relativistic cost functions, introduced in [12] as a generalization of the relativistic heat…”
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THE CHEEGER CONSTANT OF CURVED STRIPS by KREJCIRIK, David, PRATELLI, Aldo

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Existence of Isoperimetric Sets with Densities “Converging from Below” on $${\mathbb {R}}^N$$ R N by De Philippis, Guido, Franzina, Giovanni, Pratelli, Aldo

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Existence of Isoperimetric Sets with Densities “Converging from Below” on RN by De Philippis, Guido, Franzina, Giovanni, Pratelli, Aldo

“…In this paper, we consider the isoperimetric problem in the space R N with a density. Our result states that, if the density f is lower semi-continuous and…”
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