On the first boundary value problem for the class of elliptic systems degenerating at an inner point

The Dirichlet type problem for the weakly related elliptic systems of the second order degenerating at an inner point is discussed. Existence and uniqueness of the solution in the Holder class of the vector‐functions is proved. Apie išsigimstančių vidiniame taške elipsinių sistemų klasės pirmajį...

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Bibliographic Details
Main Author: S. Rutkauskas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2001-06-01
Series:Mathematical Modelling and Analysis
Subjects:
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Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9893
Description
Summary:The Dirichlet type problem for the weakly related elliptic systems of the second order degenerating at an inner point is discussed. Existence and uniqueness of the solution in the Holder class of the vector‐functions is proved. Apie išsigimstančių vidiniame taške elipsinių sistemų klasės pirmajį uždavinį Santrauka Nagrinejamas silpnai susietu antros eilees elipsiniu lygčiu, išsigimstančiu vidiniame srities taške, Dirichle tipo uzvdavinys. Irodyta šio uždavinio sprendinio egzistencija ir vienatis Hiolderio vektoriu‐funkciju klaseje. First Published Online: 14 Oct 2010
ISSN:1392-6292
1648-3510