Logarithmic Hölder continuous mappings and Beltrami equation
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DOI: 10.1007/s13324-021-00573-6
Abstract: The paper is devoted to the study of mappings satisfying the inverse inequality of Poletsky type. Here we have studied the case when the majorant in this inequality is integrable on some set of spheres… read more here.
Keywords: logarithmic lder; continuous mappings; equation; lder continuous ... See more keywords
Distributional solutions of the Beltrami equation
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DOI: 10.1016/j.jmaa.2018.10.050
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… read more here.
Keywords: distributional solutions; solutions beltrami; beltrami equation;
On the regularity of solutions to the Beltrami equation in the Plane
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DOI: 10.1080/17476933.2018.1427084
Abstract: ABSTRACT We obtain interior estimates on regularity of solutions to the inhomogeneous Beltrami equation in the plane, namely when h and the coefficients and are Dini continuous; the coefficients satisfy an ellipticity condition . read more here.
Keywords: beltrami equation; equation plane; regularity solutions;