Wiener type regularity of a boundary point for the 3D Lamé system

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)133-151
Journal / PublicationPotential Analysis
Volume32
Issue number2
Publication statusPublished - Feb 2010
Externally publishedYes

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-77950471718&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(b5248dbc-4322-48e5-99a3-62e56f28a1a7).html

Abstract

In this paper, we study the 3D Lamé system and establish its weighted positive definiteness for a certain range of elastic constants. By modifying the general theory developed in Maz'ya (J Duke Math 115(3): 479-512, 2002), we then show, under the assumption of weighted positive definiteness, that the divergence of the classical Wiener integral for a boundary point guarantees the continuity of solutions to the Lamé system at this point. © 2009 Springer Science+Business Media B.V.

Research Area(s)

  • 3D Lamé system, Weighted positivity, Wiener type regularity

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Publication fingerprints text

100
Positive Definite Mathematics
100
Boundary Point Mathematics
100
range INIS
100
solutions INIS
100
Wiener Keyphrases
100
Positive Definitene... Keyphrases
100
Regularity of a Bou... Keyphrases
50
Integral Mathematics
50
Elasticity Mathematics
50
Divergence Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Wiener type regularity of a boundary point for the 3D Lamé system. / Luo, Guo; Maz'ya, Vladimir G.
In: Potential Analysis, Vol. 32, No. 2, 02.2010, p. 133-151.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review