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

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

Autores: Matteo Focardi; Emanuele Spadaro
Publicado en: Advances in Calculus of Variations, 2020, ISSN 1864-8258
Editor: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2019-0081

How a minimal surface leaves a thin obstacle

Autores: Matteo Focardi, Emanuele Spadaro
Publicado en: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Edición 37/4, 2020, Página(s) 1017-1046, ISSN 0294-1449
Editor: Elsevier BV
DOI: 10.1016/j.anihpc.2020.02.005

Mean-convex sets and minimal barriers

Autores: Emanuele Spadaro
Publicado en: Le Matematiche, Edición 75/1, 2020, Página(s) 353–375, ISSN 0373-3505
Editor: 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

Autores: Vesa Julin; Massimiliano Morini; Marcello Ponsiglione; Emanuele Spadaro
Publicado en: Mathematische Annalen, Edición 387, 2022, ISSN 0025-5831
Editor: Springer Verlag
DOI: 10.1007/s00208-022-02497-3

Regularity of solutions to nonlinear thin and boundary obstacle problems

Autores: Luca Di Fazio; Emanuele Spadaro
Publicado en: Advances in Mathematics, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2022.108263

Long time behaviour of discrete volume preserving mean curvature flows

Autores: Morini, Massimiliano; Ponsiglione, Marcello; Spadaro, Emanuele
Publicado en: Journal für die reine und angewandte Mathematik, 2022, ISSN 1435-5345
Editor: De Gruyter
DOI: 10.48550/arxiv.2004.04799

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

Autores: Anna Abbatiello; Miroslav Bulíček; Petr Kaplický
Publicado en: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Edición 380, 2022, ISSN 1364-503X
Editor: 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

Autores: Matteo Focardi, Emanuele Spadaro
Publicado en: Archive for Rational Mechanics and Analysis, Edición 230/1, 2018, Página(s) 125-184, ISSN 0003-9527
Editor: Springer Verlag
DOI: 10.1007/s00205-018-1242-4

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

Autores: Matteo Focardi, Francesco Geraci, Emanuele Spadaro
Publicado en: Journal of Optimization Theory and Applications, 2018, ISSN 0022-3239
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-018-1398-y

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

Autores: Camillo De Lellis, Andrea Marchese, Emanuele Spadaro, Daniele Valtorta
Publicado en: Commentarii Mathematici Helvetici, Edición 93/4, 2018, Página(s) 737-779, ISSN 0010-2571
Editor: Birkhauser Verlag
DOI: 10.4171/cmh/449

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

Autores: Matteo Focardi, Francesco Geraci, Emanuele Spadaro
Publicado en: Advances in Continuum Mechanics, Edición 184, 2021, ISBN 978-3-030-90050-2
Editor: Springer Nature Switzerland AG

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

Autores: Martino Fortuna, Adriana Garroni, Emanuele Spadaro
Publicado en: Arxiv, 2023
Editor: arxiv

Two slope functions minimizing fractional seminorms and applications to misfit dislocations

Autores: Lucia De Luca, Marcello Ponsiglione, Emanuele Spadaro
Publicado en: SIAM Journal on Mathematical Analysis, 2024, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1568910

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