Poincaré problem with measurable data for semilinear Poisson equation in the plane

We study the Poincaré boundary-value problem with measurable in terms of the logarithmic capacity boundary data for semilinear Poisson equations defined either in the unit disk or in Jordan domains with quasihyperbolic boundary condition. The solvability theorems as well as their applications to s...

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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/123456789/187169
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Poincaré problem with measurable data for semilinear Poisson equation in the plane / V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin // Доповіді Національної академії наук України. — 2022. — № 4. — С. 10-18. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine