References
References
- Gehring , FW and Lehto , O . 1959 . On the total differentiability of functions of a complex variable . Ann. Acad. Sci. Fenn. A I , 272 : 9 pp
- Adams AR Hedberg LI 1994 Function Spaces and Potential Theory Springer-Verlag Berlin, Heidelberg, New York
- Morrey , CB . 1938 . On the solution of quasilinear elliptic partial differential equations . Trans. Amer. Soc. , 43 : 126 – 166 .
- Bers , L . 1961 . Uniformization by Beltrami equation . Comm. Pure Appl. Math , 14 : 215 – 228 .
- Belinskii PP 1974 General properties of quasiconformal mappings (in Russian) Nauka Sibirskoe otdelenie,Novosibirsk
- Mikyukov VM Suvorov GD 1972 On the existence and uniqueness of quasi-conformal mappings with unbounded characteristics (in Russian).Investigations in the theory of functions of a complex variable and its applications Inst. Mat. Akad. Nauk Ukr. Kiev 45 53
- Brezis , H and Nirenberg , L . 1995 . Degree theory and BMO; Part I: Compact manifolds without boundaries . Selecta Mathematica, New Series , 1 ( 2 ) : 197 – 263 .
- Ryazanov , V , Srebro , U and Yakubov , E . 2001 . Plane mappings with dilatation dominated by functions of bounded mean oscillation . Siberian Advances in Mathemematics , 11 ( 2 ) : 94 – 130 .
- Ryazanov V Srebro U Yakubov E On ring solutions of Beltrami equations, in prep
- Martio O Ryazanov V Srebro U Yakubov E 2002 On boundary behavior ofQ-homeomorphisms Reports of the Department of Mathematics University of Helsinki Preprint 318 1 12
- Pesin IN 1969 Mappings which are quasiconformal in the mean Dokl. Akad. Nauk SSSR 187 740 742 (English translation in Soviet)Math. Dokl., 10, 939–941
- Dzuraev , A . 1969 . On a Beltrami system of equations degenerating on a line . Soviet Math. Docl , 10 ( 2 ) : 449 – 452 .
- Lehto O 1971 Remarks on generalized Beltrami equations and conformal mappings Proceedings of the Romanian-Finnish Seminar on Teichmüller Spaces and Quasiconformal Mappings (Braov, 1969) Publ House of the Acad. of the Socialist Republic of Romania Bucharest 203 214
- Kruglikov , VI . 1973 . Existence and Uniqueness of Quasiconformal “in Mean” Mappings (in Russian) . Metric questions of functions theory and mappings , n. 4 : 123 – 147 .
- Yakubov , EH . 1978 . On solutions of Beltrami equations with degeneration . Soviet Math. Dokl , 19 ( 6 ) : 1515 – 1516 .
- David , G . 1988 . Solutions de l'équation de Beltrami aves ‖μ‖∞ = 1 . Ann. Acad. Sci. Fenn. Ser. A I Math. , 13 : 25 – 70 .
- Iwaniec T Martin G 2001 Geometric Function Theory and Nonlinear Analysis Oxford Mathematical Monographs, Oxford University Press Oxford
- Gutlyanskii V Martio O Sugawa T Vuorinen M 2001 On the Degenerate Beltrami Equation Reports of the Department of Mathematics University of Helsinki Preprint 282 1 32
- Miklyukov , VM . 2004 . Isothermal coordinates on surfaces with singularities . Mathem. Sb , v. 195 ( 1 ) : 69 – 88 .
- Lehto O Virtanen KI 1954 Quasiconformal Mappings in the Plane Second Edition Springer-Verlag Berlin, Heidelberg, New York
- D. Suvorov G 1965 Families of planar topological mappings (in Russian) Sibirsk. Otdel. AN SSSR, Novosibirsk