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On the regularity of solutions of quasilinear Poisson equations

We study the Dirichlet problem for quasilinear partial differential equations of the form Δu(z) = h(z)f(u(z)) in the unit disk D ⊂ C with continuous boundary data. Here, the function h : D→R belongs to the class L^p(D), p > 1, and the continuous function f : R→R is assumed to have the nondecrea...

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Bibliographic Details
Main Authors: Gutlyanskiĭ, V.Ya., Nesmelova, O.V., Ryazanov, V.I.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2018
Series:Доповіді НАН України
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/144518
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