Anisotropic Isoperimetric Problems

Workshop

“Anisotropic Isoperimetric Problems & Related Topics”

hold in Rome, 5th-9th September and co-organized with Valentina Franceschi and Giorgio Saracco.

The event has been supported by

Indam (Istituto Nazionale di Alta Matematica),

Foundation Compositio Mathematica

University of Padua, University of Pisa, University of Trento

The workshop had a particular focus on the following subjects:

(A) Isoperimetric problems with density;

(B) Crystals and periodic structures;

(D) Isoperimetric problems in geometric structures;

(E) Spectral problems.

Booklet of Abstract

Annika Bach (Sapienza Università di Roma)
(An)isotropic free-discontinuity functionals as Γ-limits of (random) discrete functionals

Giulia Bevilacqua (Università di Pisa)
Elastic membranes spanning deformable boundaries

Lia Bronsard (McMaster University)
Core shells and double bubbles in a weighted nonlocal isoperimetric problem

Sara Daneri (Gran Sasso Science Institute)
Symmetry breaking and pattern formation for functionals with competing interactions

Lucia De Luca (Istituto per le Applicazioni del Calcolo - CNR)
Crystallization results for pairwise interaction energies in two dimensions

Giacomo Del Nin (University of Warwick)
Wulff shapes in quasiperiodic crystals

Mattia Fogagnolo (Università di Padova)
Isoperimetry and mass in manifolds with nonnegative scalar curvature

Nicola Fusco (Università di Napoli)
Capillarity problems and isoperimetric inequalities

Vesa Julin (Jyväskylän yliopisto)
Consistency of the flat flow solution to the volume preserving mean curvature flow

Hans Knüpfer (Universität Heidelberg)
Gamma-limit for zigzag walls

Gian Paolo Leonardi (Università di Trento)
Isoperimetric problems on periodic lattices

Ilaria Lucardesi (Università di Firenze)
An isoperimetric problem with two solutions

Dario Mazzoleni (Università di Pavia)
A variational approach to the (spectral) Gamow and Hartree functionals

Matteo Novaga (Università di Pisa)
Gradient flows in L^1

Gloria Paoli (Friedrich–Alexander Universität Erlangen–Nürnberg)
The orthotropic p-Laplace eigenvalue problem of Steklov type as p → +∞

Marc Pegon (Université de Lille)
An isoperimetric problem involving the competition between the perimeter and a nonlocal perimeter

Marco Pozzetta (Università di Napoli Federico II)
Differential properties of the isoperimetric profile on manifolds and the role of nonsmooth geometry

Aldo Pratelli (Università di Pisa)

On a Cheeger problem with weigth

Manuel Ritoré (Universidad de Granada)
Sub-Finsler minimal and constant mean curvature surfaces in the first Heisenberg group

Berardo Ruffini (Università di Bologna)
News about an isoperimetric problem with strong capacitary repulsion

Giorgio Stefani (SISSA Trieste)
An abstract approach to the Cheeger problem and applications