Pubblicazioni/Publications

Preprint

1. F. Lanzara, E. Montefusco, V. Nesi, E. Spadaro. Generic configurations in 2D strongly competing systems. ArXiv:2411.19867

2. V. Julin, M. Morini, F. Oronzio, E. Spadaro. A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D. ArXiv:2406.17691

Lavori accettati/Accepted papers

3. G. Andreucci, M. Focardi, E. Spadaro. On the free boundary for thin obstacle problems with Sobolev variable coefficients. Interfaces and Free Bound. (ArXiv:2407.16211)

4. L. De Luca, M. Morini, M. Ponsiglione, E. Spadaro. Parabolic -Riesz flows and limit cases. Journal d'Analyse Mathématique (ArXiv:2306.09795)

5. A. Garroni, M. Fortuna, E. Spadaro. On the Read-Shockley energy for grain boundaries in poly-crystals. Comm. Pure App. Math. (ArXiv:2306.07742)

6. A. Abbatiello, G. Andreucci, E. Spadaro. On the nonlinear thin obstacle problem. Revista Matematica Iberoamericana (ArXiv:2403.19487)

7. A. Garroni, M. Petrache, E. Spadaro. Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities. “M3AS: Mathematical Models and Methods in Applied Sciences”. (ArXiv:2408.02136)

Pubblicazioni/Publications

8. L. De Luca, M. Ponsiglione, E. Spadaro. Two slope functions minimizing fractional seminorms and applications to misfit dislocations. SIAM Journal on Mathematical Analysis 56 (1),  (2024), 1179-1196.

9. V. Julin, M. Morini, M. Ponsiglione, E. Spadaro. The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions. Mathematische Annalen 387 (3), (2023), 1969-1999.

10. M. Focardi, E. Spadaro. The local structure of the free boundary in the fractional obstacle problem. Advances in Calculus of Variations 15 (3), (2022) 323-349.

11. L. Di Fazio, E. Spadaro. Regularity of solutions to nonlinear thin and boundary obstacle problems. Advances in Mathematics 401, (2022), 108263.

12. M. Morini, M. Ponsiglione, E. Spadaro. Long time behavior of discrete volume preserving mean curvature flows. Journal für die reine und angewandte Mathematik (Crelles Journal) 784, (2022), 27-51.

13. M. Focardi, F. Geraci, E. Spadaro. Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications. Variational Views in Mechanics, (2021) 185-203.

14. C. De Lellis, E. Spadaro, L. Spolaor. Regularity theory for two-dimensional almost minimal currents III: Blowup. Journal of Differential Geometry 116 (1), (2020), 125-185.

15. M. Focardi, E. Spadaro. How a minimal surface leaves a thin obstacle. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 37 (4), (2020), 1017-1046.

16. E. Spadaro. Mean-convex sets and minimal barriers. Le Matematiche 75 (1), (2020) 353-375.

17. C. De Lellis, A. Marchese, E. Spadaro, D. Valtorta. Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps. Commentarii Mathematici Helvetici 93 (4), (2018), 737-779.

18. M. Focardi, E. Spadaro. On the measure and the structure of the free boundary of the lower dimensional obstacle problem. Archive for Rational Mechanics and Analysis 230, (2018), 125-184.

19. C. De Lellis, E. Spadaro, L. Spolaor. Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society 370 (3), (2018), 1783-1801.

20. C. De Lellis, E. Spadaro, L. Spolaor. Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE 3, (2017), 1-85.

21. C. De Lellis, E. Spadaro, L. Spolaor. Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents. Communications on Pure and Applied Mathematics 70 (7), (2017), 1402-1421.

22. M. Focardi, F. Geraci, E. Spadaro. The classical obstacle problem for nonlinear variational energies. Nonlinear Analysis: Theory, Methods & Applications 154, (2017), 71-87.

23. A. Mondino, E. Spadaro. On an isoperimetric-isodiametric inequality. Analysis & PDE 10 (1), (2017), 95-126.

24. C. De Lellis, E. Spadaro. Regularity of area minimizing currents II: center manifold. Annals of Mathematics, (2016), 499-575.

25. C. De Lellis, E. Spadaro. Regularity of area minimizing currents III: blow-up. Annals of Mathematics, (2016), 577-617.

26. L. Mugnai, C. Seis, E. Spadaro. Global solutions to the volume-preserving mean-curvature flow. Calculus of Variations and Partial Differential Equations 55, (2016), 1-23.

27. M. Focardi, E. Spadaro. An epiperimetric inequality for the thin obstacle problem. Adv. Differential Equations 21(1/2), (2016), 153-200.

28. M. Focardi, M.S. Gelli, E. Spadaro. Monotonicity formulas for obstacle problems with Lipschitz coefficients. Calculus of Variations and Partial Differential Equations 54, (2015), 1547-1573.

29. M. Focardi, P.M. Mariano, E. Spadaro. Multi-value microstructural descriptors for complex materials: analysis of ground states. Archive for Rational Mechanics and Analysis 217, (2015), 899-933.

30. M. Focardi, A. Marchese, E. Spadaro. Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result. Journal of Functional Analysis 268 (11), (2015), 3290-3325.

31. E. Spadaro. Regularity of higher codimension area minimizing integral currents. Geometric Measure Theory and Real Analysis, (2015), 131-192.

32. B. Kirchheim, E. Spadaro, L. Székelyhidi Jr. Equidimensional isometric maps. Comment. Math. Helv. 90 (4),(2015), 761-798.

33. C. De Lellis, E. Spadaro. Multiple valued functions and integral currents. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XIV (2015), 1239-1269.

34. C. De Lellis, E. Spadaro. Regularity of area minimizing currents I: gradient L^p estimates. Geometric and Functional Analysis 24 (6), (2014), 1831-1884.

35. M. Cicalese, E. Spadaro. Droplet Minimizers of an Isoperimetric Problem with Long‐Range Interactions. Communications on Pure and Applied Mathematics 66 (8), (2013), 1298-1333.

36. M. Focardi, E. Spadaro. An intrinsic approach to manifold constrained variational problems. Annali di Matematica Pura ed Applicata 192, (2013), 145-163.

37. P. Logaritsch, E. Spadaro. A representation formula for the p-energy of metric space-valued Sobolev maps. Communications in Contemporary Mathematics 14 (06), (2012), 1250043.

38. E. Spadaro. Nondoubling weights. Advances in Calculus of Variations 5 (3), (2012), 345-354.

39. E. Spadaro, U. Stefanelli. A variational view at the time-dependent minimal surface equation. Journal of Evolution Equations 11 (4), (2011) 

40. C. De Lellis, E. Spadaro. Q-valued functions revisited Memoir of the American Mathematical Society 211 (991), 2011.

41. M. Cicalese, E. Spadaro, C.I. Zeppieri. Asymptotic analysis of a second-order singular perturbation model for phase transitions. Calculus of Variations and Partial Differential Equations 41 (1), (2011), 127-150.

42. C. De Lellis, E. Spadaro. Center manifold: a case study. Discrete Continuous Dynamical Systems, Volume 31, Issue 4 (2011), 1249-1272.

43. C. De Lellis, M. Focardi, E. Spadaro. Lower semicontinuous functionals for Almgren's multiple valued functions. Annales Academiæ Scientiarum Fennicæ, Mathematica Volumen 36 (2011), 393–410.

44. E. Spadaro. Complex varieties and higher integrability of Dir-minimizing Q-valued functions. Manuscripta mathematica 132 (2010), 415-429.

45. E. Spadaro. Uniform energy and density distribution: diblock copolymers’ functional. Interfaces and Free Boundaries 11 (3), (2009) 447-474.

46. E. Spadaro. Non-uniqueness of minimizers for strictly polyconvex functionals. Archive for rational mechanics and analysis 193 (3), (2009), 659-678.