Publications HiCoS

ERC-2017-StG     Higher Co-dimension Singularities: Minimal Surfaces and the Thin Obstacle Problem

• M. Focardi, E. Spadaro.
  Emanuele On the measure and the structure of the free boundary of the lower dimensional obstacle problem.
  Arch. Ration. Mech. Anal. 230 (2018), no. 1, 125-184. link
  
• C. De Lellis, A. Marchese, E. Spadaro, D. Valtorta.
  Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps.
  Comment. Math. Helv. 93 (2018), no. 4, 737-779. link
  
• M. Focardi, F. Geraci, E. Spadaro.
  Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications.
  J. Optim. Theory Appl. 184 (2020), no. 1, 125-138. link
  
• E. Spadaro.
  Mean-convex sets and minimal barriers.
  Matematiche (Catania) 75 (2020), no. 1, 353-375. link
  
• M. Focardi, E. Spadaro.
  How a minimal surface leaves a thin obstacle.
  Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), no. 4, 1017-1046. link
  
• M. Focardi, E. Spadaro.
  The local structure of the free boundary in the fractional obstacle problem.
  Adv. Calc. Variations (to appear). link
  
• M. Morini, M. Ponsiglione, E. Spadaro.
  Long time behaviour of discrete volume preserving mean curvature flows.
  Submitted. link