A boundary value problem for Beltrami differential equation
Keiichi Shibata (1996)
Banach Center Publications
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Solutions to Beltrami differential equation with prescribed boundary correspondence in some plane domains are given.
Keiichi Shibata (1996)
Banach Center Publications
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Solutions to Beltrami differential equation with prescribed boundary correspondence in some plane domains are given.
Kari Hag (1999)
Banach Center Publications
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This paper should be considered as a companion report to F.W. Gehring’s survey lectures “Characterizations of quasidisks” given at this Summer School [7]. Notation, definitions and background results are given in that paper. In particular, D is a simply connected proper subdomain of unless otherwise stated and D* denotes the exterior of D in . Many of the characterizations of quasidisks have been motivated by looking at properties of euclidean disks. It is therefore natural to go...
Krushkal, Samuel L. (2003)
Georgian Mathematical Journal
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Dariusz Partyka (1991)
Annales Polonici Mathematici
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We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.
Gong, Jianhua (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C60 A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
David Kalaj (2004)
Publications de l'Institut Mathématique
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Kalaj, David, Mateljević, Miodrag (2008)
Novi Sad Journal of Mathematics
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Krushkal, S.L. (2001)
Georgian Mathematical Journal
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KARI Astala, Michel Zinsmeister (1995)
Banach Center Publications
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Juha Heinonen (1989)
Revista Matemática Iberoamericana
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In this paper we study quasiconformal homeomorphisms of the unit ball B = B = {x ∈ R: |x| < 1} of R onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].
Michel Zinsmeister (1986)
Bulletin de la Société Mathématique de France
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