Regularity of \(\log (\partial \phi)\) for the solutions of Beltrami equations with coefficient in the Sobolev space \(W^{1,p}_c (\mathbb{C})\)

DOI10.1007/s00009-021-01757-xzbMath1468.30042OpenAlexW3155265310MaRDI QIDQ2028552

Victor A. Cruz Barriguete, Antonio L. Baisón Olmo

Publication date: 1 June 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01757-x

zbMATH Keywords

regularity of solutionsBeltrami equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Functions of bounded mean oscillation and quasiconformal mappings
• Beltrami operators in the plane
• Bilipschitz and quasiconformal rotation, stretching and multifractal spectra
• Beltrami equations with coefficient in the fractional Sobolev space $W^{\theta , \frac 2{\theta }}$
• BMO and Teichmüller space