6 citations · 10 across the 8 of their papers we have counts for
13 papers
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 homeomorphisms. This class of mappings allows for cavitations and fractures but fulfil a suitable generalization of…
Minimal Extension for the -Manhattan norm
Daniel Campbell, Aapo Kauranen, Emanuela Radici
Let be the boundary of a convex polygon in , and be a basis of for some $…
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…
On BLD-mappings with small distortion
Aapo Kauranen, Rami Luisto, Ville Tengvall
We show that every -BLD-mapping in a domain of is a local homeomorphism if or . These bounds are sharp as shown by a winding map.
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…
On proper branched coverings and a question of Vuorinen
Aapo Kauranen, Rami Luisto, Ville Tengvall
We study global injectivity of proper branched coverings defined on the Euclidean -ball in the case when the branch set is compact. In particular we show that such mappings are…
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- homeomorphism. Very recently in \cite{HKL} it was shown that the distributional adjugate of (and thus a…
Weak regularity of the inverse under minimal assumptions
Stanislav Hencl, Aapo Kauranen, Rami Luisto
Let be a domain and let be a homeomorphism such that its distributional adjugate is a finite Radon measure. We…
Mappings of finite distortion: compactness of the branch set
Aapo Kauranen, Rami Luisto, Ville Tengvall
We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show t…
Korn's inequality and John domains
Renjin Jiang, Aapo Kauranen
It is quite well known that Korn's inequality is true on all John domains. We are interested in the converse implication under assumption of so called separation condition of the d…
Solvability of the divergence equation implies John via Poincaré inequality
Renjin Jiang, Aapo Kauranen, Pekka Koskela
Let $Ω\subset \rr^2$ be a bounded simply connected domain. We show that, for a fixed (every) $p\in (1,\fz),$ the divergence equation is solvable in $W^…
Korn inequality on irregular domains
Renjin Jiang, Aapo Kauranen
In this paper, we study the weighted Korn inequality on some irregular domains, e.g., -John domains and domains satisfying quasi-hyperbolic boundary conditions. Examples regardi…
Boundary blow up under Sobolev mappings
Aapo Kauranen, Pekka Koskela
We prove that for mappings continuous up to the boundary, with modulus of continuity satisfying certain divergence condition, the image of the boundary of the…