Results 111 to 120 of about 1,270,291 (205)
Doubling measures and quasiconformal maps
In the study of quasiconformal maps, one commonly asks, ``Which classes of maps or measures are preserved under quasiconformal maps?'', and conversely, ``When does the said preservation property imply the quasiconformality of the map''''. These questions have been previously studied by Reimann, Uchiyama, and the author with respect to the classes of ...
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On the regularity of solutions of quasilinear Poisson equations
We study the Dirichlet problem for quasilinear partial differential equations of the form Δu(z)=h(z)f(u(z)) in the unit disk D⊂C with continuous boundary data.
V.Ya. Gutlyanskiĭ +2 more
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On proper branched coverings and a question of Vuorinen. [PDF]
Kauranen A, Luisto R, Tengvall V.
europepmc +1 more source
Duality of capacities and Sobolev extendability in the plane. [PDF]
Zhang YR.
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On the convergence of nonlinear Beltrami type operators
One of the results proved is the following: if (fh ) is a sequence of K-quasiregular mappings, converging to f in L1loc , whose jacobians verify a weak integrability condition, then the solutions of Dirichlet problems for the nonlinear Laplace-Beltrami ...
Riccardo De Arcangelis
doaj
Carleson's Inequality and Quasiconformal Mappings
Let \(f\) be a \(K\)-quasiconformal mapping of \(B^ n\) into \(\mathbb{R}^ n\). Define \[ \| f\|_{H^ p}= \limsup_{r\to 1} \left(\int_{S^{n-1}}| f(rs)|^ p d\sigma(s)\right)^{1/p}, \] where \(s\in S^{n-1}= \partial B^ n\), and \(d\sigma\) is the surface area measure on \(S^{n-1}\). The author proves Theorem 1.3.
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Holder spaces of quasiconformal mappings
Der Verfasser gibt interessante neue Beiträge zum Fragenkreis ``Hölder Stetigkeit, Stetigkeitsmodul, lineare Dilatation'' bei quasikonformen Abbildungen in der Ebene.
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On Quasiconformal Mappings [PDF]
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Distortion of area and dimension under quasiconformal mappings in the plane. [PDF]
Astala K.
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A Geometric Framework for Feature Mappings in Multimodal Fusion of Brain Image Data. [PDF]
Zhang W, Mi L, Thompson PM, Wang Y.
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