Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point

We investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point. We obtain estimates for the local and global solutions and find the best exponents of the continu...

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Main Author: Mariusz Bodzioch
Format: Article
Language:English
Published: Texas State University 2012-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/228/abstr.html
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spelling doaj-89da2e63412644698bcdabb7e43ae0ff2020-11-24T22:20:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-12-012012228,128Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical pointMariusz BodziochWe investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point. We obtain estimates for the local and global solutions and find the best exponents of the continuity at the conical boundary point. http://ejde.math.txstate.edu/Volumes/2012/228/abstr.htmlElliptic equationsoblique problemconical points
collection DOAJ
language English
format Article
sources DOAJ
author Mariusz Bodzioch
spellingShingle Mariusz Bodzioch
Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
Electronic Journal of Differential Equations
Elliptic equations
oblique problem
conical points
author_facet Mariusz Bodzioch
author_sort Mariusz Bodzioch
title Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
title_short Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
title_full Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
title_fullStr Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
title_full_unstemmed Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
title_sort oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2012-12-01
description We investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point. We obtain estimates for the local and global solutions and find the best exponents of the continuity at the conical boundary point.
topic Elliptic equations
oblique problem
conical points
url http://ejde.math.txstate.edu/Volumes/2012/228/abstr.html
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