Dirichlet problem with measurable data for semilinear equations in the plane

The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk D goes to the known dissertation of Luzin. His result was formulated in terms of angular limits (along nontangent paths) that are a traditional tool for the research of the boundary behavior i...

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Bibliographic Details
Date:2022
Main Authors: Gutlyanskiĭ, V.Ya., Nesmelova, O.V., Ryazanov, V.I., Yefimushkin, A.S.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2022
Series:Доповіді НАН України
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/184925
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Dirichlet problem with measurable data for semilinear equations in the plane / V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin // Доповіді Національної академії наук України. — 2022. — № 1. — С. 11-19. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine