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math.AP2021
Classification of strict limits of planar BV homeomorphisms
Daniel Campbell, Aapo Kauranen, Emanuela Radici
We present a classification of strict limits of planar BV homeomorphisms. The authors and S. Hencl showed in a previous work \cite{CHKR} that such mappings allow for cavitations an…
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 plus the area of the positivity…