On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure
<p/> <p>We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary <inline-formula><graphic file="1029-242X-2007-034138-i1.gif"/></inline-formula>. It is assumed that <in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/034138 |
| _version_ | 1811295356295577600 |
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| author | Persson L-E Chechkin GA Koroleva Yu O |
| author_facet | Persson L-E Chechkin GA Koroleva Yu O |
| author_sort | Persson L-E |
| collection | DOAJ |
| description | <p/> <p>We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary <inline-formula><graphic file="1029-242X-2007-034138-i1.gif"/></inline-formula>. It is assumed that <inline-formula><graphic file="1029-242X-2007-034138-i2.gif"/></inline-formula> consists of <inline-formula><graphic file="1029-242X-2007-034138-i3.gif"/></inline-formula> pieces with diameter of order <inline-formula><graphic file="1029-242X-2007-034138-i4.gif"/></inline-formula>. In addition, <inline-formula><graphic file="1029-242X-2007-034138-i5.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2007-034138-i6.gif"/></inline-formula> as <inline-formula><graphic file="1029-242X-2007-034138-i7.gif"/></inline-formula>.</p> |
| first_indexed | 2024-04-13T05:32:03Z |
| format | Article |
| id | doaj.art-6c3559260bfc4cbf8248952d8f314a0f |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T05:32:03Z |
| publishDate | 2007-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6c3559260bfc4cbf8248952d8f314a0f2022-12-22T03:00:24ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071034138On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous StructurePersson L-EChechkin GAKoroleva Yu O<p/> <p>We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary <inline-formula><graphic file="1029-242X-2007-034138-i1.gif"/></inline-formula>. It is assumed that <inline-formula><graphic file="1029-242X-2007-034138-i2.gif"/></inline-formula> consists of <inline-formula><graphic file="1029-242X-2007-034138-i3.gif"/></inline-formula> pieces with diameter of order <inline-formula><graphic file="1029-242X-2007-034138-i4.gif"/></inline-formula>. In addition, <inline-formula><graphic file="1029-242X-2007-034138-i5.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2007-034138-i6.gif"/></inline-formula> as <inline-formula><graphic file="1029-242X-2007-034138-i7.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2007/034138 |
| spellingShingle | Persson L-E Chechkin GA Koroleva Yu O On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure Journal of Inequalities and Applications |
| title | On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure |
| title_full | On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure |
| title_fullStr | On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure |
| title_full_unstemmed | On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure |
| title_short | On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure |
| title_sort | on the precise asymptotics of the constant in friedrich s inequality for functions vanishing on the part of the boundary with microinhomogeneous structure |
| url | http://www.journalofinequalitiesandapplications.com/content/2007/034138 |
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