Quasiconformal and harmonic mappings between smooth Jordan domains.
Kalaj, David, Mateljević, Miodrag (2008)
Novi Sad Journal of Mathematics
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Kalaj, David, Mateljević, Miodrag (2008)
Novi Sad Journal of Mathematics
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Dariusz Partyka, Ken Sakan, Józef Zając (1999)
Banach Center Publications
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Different aspects of the boundary value problem for quasiconformal mappings and Teichmüller spaces are expressed in a unified form by the use of the trace and extension operators. Moreover, some new results on harmonic and quasiconformal extensions are included.
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.
Krushkal, Samuel L. (2003)
Georgian Mathematical Journal
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Frederick Gehring (1999)
Banach Center Publications
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Krushkal, S.L. (2001)
Georgian Mathematical Journal
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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.
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.
Miodrag Mateljević (2004)
Zbornik Radova
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David Kalaj (2011)
Studia Mathematica
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We extend the Rado-Choquet-Kneser theorem to mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary without restriction on the convexity of image domain. The proof is based on a recent extension of the Rado-Choquet-Kneser theorem by Alessandrini and Nesi and it uses an approximation scheme. Some applications to families of quasiconformal harmonic mappings between Jordan domains are given.
Tadeusz Iwaniec (1999)
Banach Center Publications
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Contents Introduction 119 1. Quasiregular mappings 120 2. The Beltrami equation 121 3. The Beltrami-Dirac equation 122 4. A quest for compactness 124 5. Sharp -estimates versus variational integrals 125 6. Very weak solutions 128 7. Nonlinear commutators 129 8. Jacobians and wedge products 131 9. Degree formulas 134 References 136