cvgmt: Emanuele Paolini

Calculus of Variations and Geometric Measure Theory

Emanuele Paolini

[paolini]

Associate Professor, Università di Pisa

Email: emanuele.paolini AT unipi.it

Home-page: http://pagine.dm.unipi.it/paolini/

arxiv id: paolini_e_1

orcid id: 0000-0001-7021-7537

Available papers (41):

M. Novaga - E. Paolini - E. Stepanov (Submitted Paper)
On the total surface area of potato packings (2024)
D. Cherkashin - E. Paolini - Y. Teplitskaya (preprint)
Steiner trees with infinitely many terminals on the sides of an angle (2024)
M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (Networks and Heterogeneous Media)
Isoperimetric planar clusters with infinitely many regions (2023)
E. Paolini - E. Stepanov (Preprint)
On the Steiner tree connecting a fractal set (2023)
M. Novaga - E. Paolini - V. M. Tortorelli (Accepted Paper: Trans. Amer. Math. Soc.)
Locally isoperimetric partitions (2023)
M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (J. Geom. Anal.)
Isoperimetric clusters in homogeneous spaces via concentration compactness (2022)
P. Marcellini - E. Paolini (Accepted Paper: Imagine Math 8)
Origami and fractal solutions of differential systems (2022)
E. Paolini - V. M. Tortorelli (Calc. Var.)
The quadruple planar bubble enclosing equal areas is symmetric (2020)
E. Paolini - E. Stepanov (Proc. Royal Soc. Edinburgh Ser. A - Mathematics)
Flows of measures generated by vector fields (2018)
E. Paolini - A. Tamagnini (Geometric Flows)
Minimal cluster computation for four planar regions with the same area (2018)
E. Paolini - A. Tamagnini (ESAIM: COCV)
Minimal clusters of four planar regions with the same area (2018)
E. Paolini (Matematica, Cultura e Società – Rivista dell’Unione Matematica Italiana)
Dehn e Banach-Tarski: opposti paradossi (2017)
E. Paolini - E. Stepanov - Y. Teplitskaya (Adv. Calc. Var.)
An example of an infinite Steiner tree connecting an uncountable set (2015)
B. Dacorogna - P. Marcellini - E. Paolini (Nonlinear Differ. Equ. Appl. (NoDEA))
The degenerate two well problem for piecewise affine maps (2013)
E. Paolini - E. Stepanov (J. Funct. Anal.)
Structure of metric cycles and normal one-dimensional currents (2013)
E. Paolini (Bruno Pini Mathematical Analysis Seminar)
Minimal connections: the classical Steiner problem and generalizations (2012)
B. Dacorogna - P. Marcellini - E. Paolini (Adv. Differential Equations)
The two well problem for piecewise affine maps (2012)
E. Paolini - E. Stepanov (J. Funct. Anal.)
Decomposition of acyclic normal currents in a metric space (2012)
P. Marcellini - E. Paolini (Imagine Math.)
Origami and Partial Differential Equations (2012)
E. Paolini - E. Stepanov (Calc. Var. Partial Diff. Equations)
Existence and regularity results for the Steiner problem (2012)
B. Dacorogna - P. Marcellini - E. Paolini (Differential and Integral Equations)
Functions with orthogonal Hessian (2010)
B. Dacorogna - P. Marcellini - E. Paolini (Notices of AMS)
Origami and Partial Differential Equations (2010)
E. Paolini - L. Ulivi (Rend. Sem. Mat. Univ. Padova)
The Steiner problem for infinitely many points (2010)
E. Paolini - E. Stepanov (J. Math. Sciences (N.Y.))
Connecting measures by means of branched transportation networks at finite cost (2009)
G. De Philippis - E. Paolini (Rend. Sem. Mat. Univ. Padova)
A short proof of the minimality of Simons cone (2009)
B. Dacorogna - P. Marcellini - E. Paolini (J. Math. Pures Appl.)
Lipschitz-continuous local isometric immersions: rigid maps and origami (2008)
B. Dacorogna - P. Marcellini - E. Paolini (J. Funct. Anal.)
On the $n$-dimensional Dirichlet problem for isometric maps (2008)
B. Dacorogna - P. Marcellini - E. Paolini (Ann. Inst. H. Poincaré Anal. Non Linéaire)
An explicit solution to a system of implicit differential equations (2008)
M. Miranda Jr - E. Paolini - E. Stepanov (Calc. Var. Partial Diff. Equations)
On one-dimensional continua uniformly approximating planar sets (2006)
E. Paolini - E. Stepanov (Interfaces and Free Boundaries)
Optimal transportation networks as flat chains (2006)
M. Novaga - E. Paolini (Annali di Matematica pura e Applicata)
Regularity results for boundaries in ${\mathrm R}^2$ with prescribed anisotropic curvature (2005)
G. Bellettini - M. Novaga - E. Paolini (SIAM J. on Math. Anal.)
Global solutions to the gradient flow equation of a nonconvex functional (2005)
M. Novaga - E. Paolini (Math. Mod. Meth. Appl. Sc.)
Stability of Crystalline Evolutions (2005)
E. Paolini - E. Stepanov (J. Math. Sciences (N.Y.))
Qualitative properties of maximum distance minimizers and average distance minimizers in $\mathbf R^n$ (2004)
E. Paolini (manuscripta mathematica)
On the Relaxed Total Variation of Singular Maps (2003)
L. Ambrosio - M. Novaga - E. Paolini (ESAIM: COCV volume dedicated to J. L. Lions)
Some Regularity Results for Minimal Crystals (2002)
M. Novaga - E. Paolini (Nonlinear Analysis: Real World Applications)
Regularity results for some $1$-homogeneous functionals (2002)
M. Novaga - E. Paolini (Rend. Mat. Acc. Lincei)
A computational approach to fractures in crystal growth (1999)
L. Ambrosio - E. Paolini (Ricerche di Matematica)
Partial regularity for quasi minimizers of perimeter (1999)
E. Paolini (manuscripta math.)
Regularity for minimal boundaries in $R^n$ with mean curvature in $L^n$ (1998)
E. Paolini (Degree Thesis)
Il Teorema del Disco Topologico di Reifenberg ed il Problema di Plateau in Codimensione Qualunque (1996)

Seminars:

8 dec 2021: Minimal planar clusters
11 may 2021: Minicourse: One-dimensional optimization problems
17 sep 2020: The quadruple bubble in the plane
27 jun 2017: Minimal clusters of four planar regions with the same area
14 nov 2014: Decomposition of one-dimensional currents
11 jun 2013: Piecewise affine solutions to differential inclusions
3 dec 2010: Origami and PDEs
13 jun 2010: The Steiner problem for infinitely many points
6 may 2007: On the relaxed total variation of singular maps
13 may 1998: Il teorema del disco topologico di Reifenberg

Speaker:

29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
10 jun 2013 - 12 jun 2013: Calcul des variations et équations différentielles

Organizer:

10 jun 2025 - 19 jun 2025: School in Geometric Measure Theory and some related topics
6 dec 2023 - 6 dec 2023: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
6 sep 2022 - 7 sep 2022: Optimal Transport and Uncertanity - second edition
20 jun 2022 - 24 jun 2022: Isoperimetric Problems
26 nov 2021 - 26 nov 2021: Optimal transport and uncertanity
4 jun 2021 - 4 jun 2021: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
30 oct 2020 - 30 oct 2020: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
22 nov 2019 - 22 nov 2019: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
17 may 2019 - 17 may 2019: Incontri di Analisi Matematica tra Firenze, Pisa e Siena