User profiles for Emanuele Paolini

Emanuele Paolini

Università di Pisa
Verified email at unipi.it
Cited by 663

[PDF][PDF] Partial regularity for quasi minimizers of perimeter

L Ambrosio, E Paolini - Ricerche di Matematica, 1999 - flore.unifi.it
Ф и Ъв ей з б в б о ж г д ж б и жИ и и зИ з и зй и и ШД ДмЕЕ ДН З Д ЕЕШД ДмЕЕ гж аа к ж
и гвз л и ДмЕ в гж к в йв и гв л и а б М Д Е МК Я джгк и иИ йд иг агз з и л и б вз гв и бгзи в …

Existence and regularity results for the Steiner problem

E Paolini, E Stepanov - Calculus of Variations and Partial Differential …, 2013 - Springer
Given a complete metric space X and a compact set $${C\subset X}$$ , the famous Steiner (or
minimal connection) problem is that of finding a set S of minimum length (one-…

Decomposition of acyclic normal currents in a metric space

E Paolini, E Stepanov - Journal of functional analysis, 2012 - Elsevier
We prove that every acyclic normal one-dimensional real Ambrosio–Kirchheim current in a
Polish (ie complete separable metric) space can be decomposed in curves, thus generalizing …

[PDF][PDF] A short proof of the minimality of Simons cone

G De Philippis, E Paolini - Rendiconti del Seminario Matematico della …, 2009 - numdam.org
In 1969 Bombieri, De Giorgi and Giusti proved that Simons cone is a minimal surface, thus
providing the first example of a minimal surface with a singularity. We suggest a simplified …

Qualitative Properties of Maximum Distance Minimizers and Average Distance Minimizers in Rn

E Paolini, E Stepanov - Journal of Mathematical Sciences, 2004 - Springer
We consider one-dimensional networks of finite length in $$\mathbb{R}^n $$ minimizing the
average distance functional and the maximum distance functional subject to the length …

[PDF][PDF] Origami and partial differential equations

B Dacorogna, P Marcellini, E Paolini - Notices of AMS, 2010 - cvgmt.sns.it
Emanuele Paolini is assistant professor of mathematics at the University of Firenze, Italy. …
Dacorogna, Paolo Marcellini, and Emanuele Paolini on some mathematical aspects of origami. …

Lipschitz-continuous local isometric immersions: rigid maps and origami

B Dacorogna, P Marcellini, E Paolini - Journal de mathématiques pures et …, 2008 - Elsevier
A rigid mapu:Ω⊂R n →R m is a Lipschitz-continuous map with the property that at every x∈Ω
where u is differentiable then its gradient Du(x) is an orthogonalm×nmatrix. If Ω is convex, …

Isoperimetric clusters in homogeneous spaces via concentration compactness

M Novaga, E Paolini, E Stepanov… - The Journal of Geometric …, 2022 - Springer
We show the existence of generalized clusters of a finite or even infinite number of sets, with
minimal total perimeter and given total masses, in metric measure spaces homogeneous …

Structure of metric cycles and normal one-dimensional currents

E Paolini, E Stepanov - Journal of Functional Analysis, 2013 - Elsevier
We prove that every one-dimensional real Ambrosio–Kirchheim normal current in a Polish (ie
complete separable metric) space can be naturally represented as an integral of simpler …

[HTML][HTML] A spatial multi-scale fluorescence microscopy toolbox discloses entry checkpoints of SARS-CoV-2 variants in Vero E6 cells

…, PG Spezia, V Carnicelli, G Lottini, E Paolini… - Computational and …, 2021 - Elsevier
We exploited a multi-scale microscopy imaging toolbox to address some major issues related
to SARS-CoV-2 interactions with host cells. Our approach harnesses both conventional …