Finite Lipschitzness of regular solutions to nonlinear Beltrami equation
Руслан Салімов, Mariia V. Stefanchuk
Abstract
A sufficient condition providing a local finite Lipschitzness for the regular solutions of Sobolev class Wloc1,1 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.
Topics & Concepts
MathematicsNonlinear systemClass (philosophy)Sobolev spaceMathematical analysisElliptic curvePure mathematicsPhysicsQuantum mechanicsComputer scienceArtificial intelligenceDifferential Equations and Boundary ProblemsNumerical methods in engineeringNonlinear Partial Differential Equations