Hilbert problem with measurable data for semilinear equations of the Vekua type

• 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/123456789/184951
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hilbert problem with measurable data for semilinear equations of the Vekua type / V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin // Доповіді Національної академії наук України. — 2022. — № 2. — С. 3-11. — Бібліогр.: 14 назв. — англ.

We prove the existence of solutions for the Hilbert boundary-value problem with arbitrary measurable data for the
 nonlinear equations of the Vekua’s type ∂Z̅̄f(z) = h(z)q(f(z)). The found solutions differ from the classical ones,
 because our approach is based on the notion of bound...