Martí Prats

collaborators

2 papers

math.AP2019

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 $R_{+}^{n + 1}$ plus the area of the positivity…

math.CA2019

The two-phase problem for harmonic measure in VMO

Martí Prats, Xavier Tolsa

Let $Ω^{+} \subset R^{n + 1}$ be an NTA domain and let $Ω^{-} = R^{n + 1} ∖ Ω^{+}$ be an NTA domain as well. Denote by $ω^{+}$ and $ω^{-}$ their respective harmoni…