To the theory of semi-linear equations in the plane

In two dimensions, we present a new approach to the study of the 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. Assu...

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Bibliographic Details
Date:2019
Main Authors: Gutlyanskii, V.Ya., Nesmelova, O.V., Ryazanov, V.I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/169434
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:To the theory of semi-linear equations in the plane / V.Ya. Gutlyanskii, O.V. Nesmelova, V.I. Ryazanov // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 105-140. — Бібліогр.: 74 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine