Mappings by the solutions of second-order elliptic equations

We study the properties of complex-valued functions of a complex variable, whose real and imaginary parts satisfy a second-order skew-symmetric strongly elliptic system with constant real coefficients in the plane. The behavior of such functions and their dilatations near singular points is investigated and the dependence of the type of the singularity on the form of the Laurent expansion of the function under consideration is established. The principle of the argument is established for the functions with poles under study, analogs of the Ruschet and Hurwitz theorems are proved

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Mappings by the solutions of second-order elliptic equations

Cited by 5 publications

References 5 publications

On boundary behavior of solutions to elliptic systems in disks

On boundary behavior of solutions to elliptic systems in disks

On the Geometric Properties of the Poisson Kernel for the Lamé Equation

Some Analytic and Geometric Properties of Solution to Skew-Symmetric Elliptic Systems

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