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Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data
In this article, we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second order equations with L¹-right-hand sides in a bounded open set of Rⁿ (n ≥ 2).
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Інститут прикладної математики і механіки НАН України
2013
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Series: | Труды Института прикладной математики и механики |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/124157 |
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irk-123456789-1241572017-09-22T03:02:48Z Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data Kovalevsky, A.A. Gorban, Yu.S. In this article, we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second order equations with L¹-right-hand sides in a bounded open set of Rⁿ (n ≥ 2). В статье рассмотрена задача Дирихле для класса вырождающихся анизотропных эллиптических уравнений второго порядка с L¹-правыми частями в ограниченном открытом множестве пространства Rⁿ (n ≥ 2). У статтi розглянуто задачу Дiрiхле для класу виродних анiзотропних елiптичних рiвнянь другого порядку з L¹-правими частинами в обмеженiй вiдкритiй множинi простору Rⁿ (n ≥ 2). 2013 Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data / A.A. Kovalevsky, Yu.S. Gorban // Труды Института прикладной математики и механики НАН Украины. — Донецьк: ІПММ НАН України, 2013. — Т. 26. — С. 76-94. — Бібліогр.: 10 назв. — англ. 1683-4720 http://dspace.nbuv.gov.ua/handle/123456789/124157 517.9 en Труды Института прикладной математики и механики Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
language |
English |
description |
In this article, we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second order equations with L¹-right-hand sides in a bounded open set of Rⁿ (n ≥ 2). |
author |
Kovalevsky, A.A. Gorban, Yu.S. |
spellingShingle |
Kovalevsky, A.A. Gorban, Yu.S. Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data Труды Института прикладной математики и механики |
author_facet |
Kovalevsky, A.A. Gorban, Yu.S. |
author_sort |
Kovalevsky, A.A. |
title |
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data |
title_short |
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data |
title_full |
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data |
title_fullStr |
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data |
title_full_unstemmed |
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data |
title_sort |
conditions of solvability of the dirichlet problem for degenerate anisotropic elliptic second-order equations with l¹-data |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2013 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/124157 |
citation_txt |
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data / A.A. Kovalevsky, Yu.S. Gorban // Труды Института прикладной математики и механики НАН Украины. — Донецьк: ІПММ НАН України, 2013. — Т. 26. — С. 76-94. — Бібліогр.: 10 назв. — англ. |
series |
Труды Института прикладной математики и механики |
work_keys_str_mv |
AT kovalevskyaa conditionsofsolvabilityofthedirichletproblemfordegenerateanisotropicellipticsecondorderequationswithl1data AT gorbanyus conditionsofsolvabilityofthedirichletproblemfordegenerateanisotropicellipticsecondorderequationswithl1data |
first_indexed |
2023-10-18T20:45:46Z |
last_indexed |
2023-10-18T20:45:46Z |
_version_ |
1796151044355391488 |