The Dirichlet problem for the Poisson type equations in the plane

We present a new approach to the study of semilinear equations of the form div[A(z)▽u]=f(u), the diffusion term of which is the divergence uniform elliptic operator with measurable matrix functions A(z), whereas its reaction term f(u) is a continuous non-linear function. We establish a theorem on...

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Bibliographic Details
Date:2020
Main Authors: Gutlyanskiĭ, V.Ya., Nesmelova, O.V.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2020
Series:Доповіді НАН України
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/170500
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Dirichlet problem for the Poisson type equations in the plane / V.Ya. Gutlyanskiĭ, O.V. Nesmelova // Доповіді Національної академії наук України. — 2020. — № 5. — С. 10-16. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine