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

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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, 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, 75/1, 2020, Page(s) 353–375, ISSN 0373-3505
Publisher: Dip. Inform. Mat. Univ. Catania
DOI: 10.4418/2020.75.1.16

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, 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, 93/4, 2018, Page(s) 737-779, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/449