Finite Lipschitzness of regular solutions to nonlinear Beltrami equation

A sufficient condition providing a local finite Lipschitzness for the regular solutions of Sobolev class $ W^{1,1}_{\rm loc} $ W loc 1 , 1 to a nonlinear Beltrami equation introduced in [Golberg A, Salimov R. Nonlinear Beltrami equation. Complex Var Elliptic Equ. 2020;65(1):6-21] is established. Som...

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Bibliographic Details
Published in:Complex variables and elliptic equations 2024-06, Vol.69 (6), p.913-923
Main Authors: Salimov, R., Stefanchuk, M.
Format: Article
Language:English
Subjects:
lower Q-homeomorphism with respect to p-modulus
Nonlinear Beltrami equation
Primary: 35J60
ring Q-homeomorphism with respect to p-modulus
Secondary: 35B65
tangent dilatation
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Summary:A sufficient condition providing a local finite Lipschitzness for the regular solutions of Sobolev class $ W^{1,1}_{\rm loc} $ W loc 1 , 1 to a nonlinear Beltrami equation introduced in [Golberg A, Salimov R. Nonlinear Beltrami equation. Complex Var Elliptic Equ. 2020;65(1):6-21] is established. Some illustrating examples and preliminary results are also given.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2023.2166498