On Univalence of Solutions of Second-Order Elliptic Equations in the Unit Disk on the Plane


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Resumo

Sufficient conditions on a function continuous on the unit circle are found ensuring that the solution of the Dirichlet problem in the unit disk for a certain second-order partial differential equation with this boundary function is a homeomorphism of the unit disk onto a simply connected Jordan domain. Bibliography: 5 titles.

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A. Zaitsev

Moscow State Technical University of Radio Engineering, Electronics, and Automatics

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Email: abzai75@mail.ru
Rússia, Moscow

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