On the Uniqueness of the Solution of the Dirichlet Boundary Value Problem for Quasiharmonic Functions in a Non-Unit Disk


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Abstract

In this article the uniqueness of the solution of Dirichlet boundary value problem for quasiharmonic functions in arbitrary disk Tr+ = {z: |z| < r}, where r ≠ 1, is established. Also the non-uniqueness of the solution of this problem in a unit disk is proven.

About the authors

K. M. Rasulov

Smolensk State University

Author for correspondence.
Email: kahrimanr@yandex.ru
Russian Federation, ul. Przheval’skogo 4, Smolensk, 214000


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