Aapo Kauranen

activity

20182021

collaborators

5 papers

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.MG2019

On BLD-mappings with small distortion

Aapo Kauranen, Rami Luisto, Ville Tengvall

We show that every $L$ -BLD-mapping in a domain of $R^{n}$ is a local homeomorphism if $L < 2$ or $K_{I} (f) < 2$ . These bounds are sharp as shown by a winding map.

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.FA2019

On distributional adjugate and derivative of the inverse

Stanislav Hencl, Aapo Kauranen, Jan Malý

Let $Ω\subset\er^3$ be a domain and let $f\colonΩ\to\er^3$ be a bi- $B V$ homeomorphism. Very recently in \cite{HKL} it was shown that the distributional adjugate of $D f$ (and thus a…

math.CA2018

Weak regularity of the inverse under minimal assumptions

Stanislav Hencl, Aapo Kauranen, Rami Luisto

Let $Ω \subset R^{3}$ be a domain and let $f \in B V_{loc} (Ω, R^{3})$ be a homeomorphism such that its distributional adjugate is a finite Radon measure. We…