26 citations · 84 across the 8 of their papers we have counts for
4 papers · 1 filter
Minimizers for the thin one-phase free boundary problem
Max Engelstein, Aapo Kauranen, Martí Prats +2
We consider the "thin one-phase" free boundary problem, associated to minimizing a weighted Dirichlet energy of the function in plus the area of the positivity…
Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale
Kari Astala, Martí Prats, Eero Saksman
We study quasiconformal mappings in planar domains and their regularity properties described in terms of Sobolev, Bessel potential or Triebel-Lizorkin scales. This leads to opt…
Characterization for stability in planar conductivities
Daniel Faraco, Martí Prats
We find a complete characterization for sets of isotropic conductivities with stable recovery in the norm when the data of the Calderón Inverse Conductivity Problem is obtain…
Beltrami equations in the plane and Sobolev regularity
Martí Prats
New results regarding the Sobolev regularity of the principal solution of the linear Beltrami equation for discontinuous B…