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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Vilnius Gediminas Technical University
2001-06-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9893 |
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doaj-70dcce1f4857418d92c898e62a0bdc4a2021-07-02T06:05:37ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102001-06-016110.3846/13926292.2001.9637154On the first boundary value problem for the class of elliptic systems degenerating at an inner pointS. Rutkauskas0Institute of Mathematics and Informatics , Akademijos 4, Vilnius, 2600, Lithuania; Vilnius Pedagogical University , Studentu 39, Vilnius, 2034, Lithuania 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 https://journals.vgtu.lt/index.php/MMA/article/view/9893- |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. Rutkauskas |
| spellingShingle |
S. Rutkauskas On the first boundary value problem for the class of elliptic systems degenerating at an inner point Mathematical Modelling and Analysis - |
| author_facet |
S. Rutkauskas |
| author_sort |
S. Rutkauskas |
| title |
On the first boundary value problem for the class of elliptic systems degenerating at an inner point |
| title_short |
On the first boundary value problem for the class of elliptic systems degenerating at an inner point |
| title_full |
On the first boundary value problem for the class of elliptic systems degenerating at an inner point |
| title_fullStr |
On the first boundary value problem for the class of elliptic systems degenerating at an inner point |
| title_full_unstemmed |
On the first boundary value problem for the class of elliptic systems degenerating at an inner point |
| title_sort |
on the first boundary value problem for the class of elliptic systems degenerating at an inner point |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2001-06-01 |
| description |
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
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https://journals.vgtu.lt/index.php/MMA/article/view/9893 |
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AT srutkauskas onthefirstboundaryvalueproblemfortheclassofellipticsystemsdegeneratingataninnerpoint |
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1721337822457102336 |