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

• Published in: Доповіді НАН України
• 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
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/187169
• 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.

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 a...