Higher Co-dimension Singularities: Minimal Surfaces and the Thin Obstacle Problem

Project Information

HiCoS

Grant agreement ID: 759229

DOI

10.3030/759229

Project closed

EC signature date 5 September 2017

Start date 1 February 2018

End date 31 October 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 341 250,00

EU contribution

€ 1 341 250,00

Coordinated by

UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA
Italy

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (10)

The local structure of the free boundary in the fractional obstacle problem

Author(s): Matteo Focardi; Emanuele Spadaro
Published in: Advances in Calculus of Variations, 2020, ISSN 1864-8258
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2019-0081

How a minimal surface leaves a thin obstacle

Author(s): Matteo Focardi, Emanuele Spadaro
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Issue 37/4, 2020, Page(s) 1017-1046, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.1016/j.anihpc.2020.02.005

Mean-convex sets and minimal barriers

Author(s): Emanuele Spadaro
Published in: Le Matematiche, Issue 75/1, 2020, Page(s) 353–375, ISSN 0373-3505
Publisher: Dip. Inform. Mat. Univ. Catania
DOI: 10.4418/2020.75.1.16

The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions

Author(s): Vesa Julin; Massimiliano Morini; Marcello Ponsiglione; Emanuele Spadaro
Published in: Mathematische Annalen, 2022, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-022-02497-3

Regularity of solutions to nonlinear thin and boundary obstacle problems

Author(s): Luca Di Fazio; Emanuele Spadaro
Published in: Advances in Mathematics, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108263

Long time behaviour of discrete volume preserving mean curvature flows

Author(s): Morini, Massimiliano; Ponsiglione, Marcello; Spadaro, Emanuele
Published in: Journal für die reine und angewandte Mathematik, 2022, ISSN 1435-5345
Publisher: De Gruyter
DOI: 10.48550/arxiv.2004.04799

On solutions for a generalized Navier–Stokes–Fourier system fulfilling the entropy equality

Author(s): Anna Abbatiello; Miroslav Bulíček; Petr Kaplický
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2022, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0351

On the Measure and the Structure of the Free Boundary of the Lower Dimensional Obstacle Problem

Author(s): Matteo Focardi, Emanuele Spadaro
Published in: Archive for Rational Mechanics and Analysis, Issue 230/1, 2018, Page(s) 125-184, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-018-1242-4

Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications

Author(s): Matteo Focardi, Francesco Geraci, Emanuele Spadaro
Published in: Journal of Optimization Theory and Applications, 2018, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-018-1398-y

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps

Author(s): Camillo De Lellis, Andrea Marchese, Emanuele Spadaro, Daniele Valtorta
Published in: Commentarii Mathematici Helvetici, Issue 93/4, 2018, Page(s) 737-779, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/449

Book chapters (1)

Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications

Author(s): Matteo Focardi, Francesco Geraci, Emanuele Spadaro
Published in: Advances in Continuum Mechanics, Issue 184, 2021, ISBN 978-3-030-90050-2
Publisher: Springer Nature Switzerland AG

Other (1)

On the Read-Shockley energy for grain boundaries in poly-crystals

Author(s): Martino Fortuna, Adriana Garroni, Emanuele Spadaro
Published in: Arxiv, 2023
Publisher: arxiv

Non-peer reviewed articles (1)

Two slope functions minimizing fractional seminorms and applications to misfit dislocations

Author(s): Lucia De Luca, Marcello Ponsiglione, Emanuele Spadaro
Published in: SIAM Journal on Mathematical Analysis, 2024, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1568910