Manifolds of quasiconformal mappings and the nonlinear Beltrami equation
Astala, K., Clop, A., Faraco, D., & Jääskeläinen, J. (2019). Manifolds of quasiconformal mappings and the nonlinear Beltrami equation. Journal d'Analyse Mathématique, 139(1), 207-238. https://doi.org/10.1007/s11854-019-0059-x
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Journal d'Analyse MathématiqueDate
2019Copyright
© The Hebrew University of Jerusalem 2019
In this paper we show that the homeomorphic solutions to each nonlinear Beltrami equation ∂z¯f=H(z,∂zf) generate a two-dimensional manifold of quasiconformal mappings FH⊂Wloc1,2(C). Moreover, we show that under regularity assumptions on H, the manifold FH defines the structure function H uniquely.
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The Hebrew University Magnes PressISSN Search the Publication Forum
0021-7670Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/33555517
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K. A. was supported by Academy of Finland project SA-307333. A. C. was supported by research grants 2014SGR75 (Generalitat de Catalunya), MTM2016-75390-P and MTM2016-81703-ERC (Gobierno de Espana) and FP7-607647 (European Union). D. F. was supported by research grant MTM2011-28198 from the Ministerio de Ciencia e Innovación (MCINN), by MINECO: ICMAT Severo Ochoa project SEV-2011-0087, and by th ...
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