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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Date: | 2020 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Видавничий дім "Академперіодика" НАН України
2020
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Series: | Доповіді НАН України |
Subjects: | |
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. |