On the Dirichlet problem for quasilinear Poisson equations
We study the Dirichlet problem for the quasilinear partial differential equations of the form Δu(z) = h(z)·f(u(z)) in the unit disk D ⊂ C with functions h : D → R in the class Lp(D), p > 1, and continuous functions f : R → R with nondecreasing |f | of |t| such that f(t)/t → 0 as t → ∞....
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Date: | 2017 |
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Main Authors: | Gutlyanskii, V.Ya., Nesmelova, O.V., Ryazanov, V.I. |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2017
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Series: | Праці Інституту прикладної математики і механіки НАН України |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/145106 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | On the Dirichlet problem for quasilinear Poisson equations / V.Ya. Gutlyanskii, O.V. Nesmelova, V.I. Ryazanov // Праці Інституту прикладної математики і механіки НАН України. — Слов’янськ: ІПММ НАН України, 2017. — Т. 31. — С. 28-37. — Бібліогр.: 21 назв. — англ. |
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