On approximate solutions to one class of non-linear Dirichlet elliptic boundary value problems

On approximate solutions to one class of non-linear Dirichlet elliptic boundary value problems

We discuss the existence of weak solutions to one class of Dirichlet boundary value problems (BVP) for non-linear elliptic equation. Because of the specic of nonlinearity, we cannot a priori expect to have a solution in the standard functional space. Instead of this we show that the original BVP adm...

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Bibliographic Details
Main Authors: P. I. Kogut, A. O. Putchenko
Format: Article
Language:English
Published: DNU 2016-05-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ
Subjects:
existence result
elliptic equations
fictitious control
perturbation approach
Online Access:http://model-dnu.dp.ua/index.php/SM/article/view/97

Internet

http://model-dnu.dp.ua/index.php/SM/article/view/97

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