Aapo Kauranen

activity

20132022

most citedBoundary blow up under Sobolev mappings

6 citations · 10 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.AP2022★ 1 cited

Classification of area-strict limits of planar BV homeomorphisms

Daniel Campbell, Aapo Kauranen, Emanuela Radici

We present a classification of area-strict limits of planar $B V$ homeomorphisms. This class of mappings allows for cavitations and fractures but fulfil a suitable generalization of…

math.AP2022

Minimal Extension for the $α$ -Manhattan norm

Daniel Campbell, Aapo Kauranen, Emanuela Radici

Let $\partial Q$ be the boundary of a convex polygon in $R^{2}$ , $e_{α} = (cos α, sin α)$ and $e_{α}^{⊥} = (- sin α, cos α)$ be a basis of $R^{2}$ for some $…

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

Classification of area-strict limits of planar BV homeomorphisms

Minimal Extension for the α-Manhattan norm

Classification of strict limits of planar BV homeomorphisms

Minimizers for the thin one-phase free boundary problem

Minimal Extension for the $α$ -Manhattan norm