Distributional solutions of the Beltrami equation

1Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.

Cite

CITATION STYLE

APA

Baisón, A. L., Clop, A., & Orobitg, J. (2019). Distributional solutions of the Beltrami equation. Journal of Mathematical Analysis and Applications, 470(2), 1081–1094. https://doi.org/10.1016/j.jmaa.2018.10.050

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free