Annotation
A mixed boundary problem has been considered for harmonic functions in a multiply connected interior of domain. Some boundary curves obey the Dirichlet condition, the rest of the boundary curves satisfying a condition with an oblique derivative. To find the solution, a uniquely solvable Fredholm integral equation of second kind has been obtained. As a result, the existence of the unique solution of the problem in the domain of continuous functions has been proved.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A.O. Chikilev, P.A. Krutitskii
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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