Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

Chérif Amrouche; Philippe G. Ciarlet; Patrick Ciarlet Jr.

doi:10.1142/S0219530510001497

Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

Chérif Amrouche
, Philippe G. Ciarlet
, Patrick Ciarlet Jr.

Department of Mathematics

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

11 Citations (Scopus)

Abstract

In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré's theorem and to Korn's inequality. © 2010 World Scientific Publishing Company.

Original language	English
Pages (from-to)	1-17
Journal	Analysis and Applications
Volume	8
Issue number	1
DOIs	https://doi.org/10.1142/S0219530510001497
Publication status	Published - Jan 2010

Research Keywords

Korn's inequality
Poincaré's theorem

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10.1142/S0219530510001497

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title = "Weak vector and scalar potentials: Applications to poincar{\'e}s theorem and korns inequality in sobolev spaces with negative exponents",

abstract = "In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincar{\'e}'s theorem and to Korn's inequality. {\textcopyright} 2010 World Scientific Publishing Company.",

keywords = "Korn's inequality, Poincar{\'e}'s theorem",

author = "Ch{\'e}rif Amrouche and Ciarlet, \{Philippe G.\} and \{Ciarlet Jr.\}, Patrick",

year = "2010",

month = jan,

doi = "10.1142/S0219530510001497",

language = "English",

volume = "8",

pages = "1--17",

journal = "Analysis and Applications",

issn = "0219-5305",

publisher = "World Scientific",

number = "1",

}

Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents. / Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet Jr., Patrick.
In: Analysis and Applications, Vol. 8, No. 1, 01.2010, p. 1-17.

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

TY - JOUR

T1 - Weak vector and scalar potentials

T2 - Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

AU - Amrouche, Chérif

AU - Ciarlet, Philippe G.

AU - Ciarlet Jr., Patrick

PY - 2010/1

Y1 - 2010/1

N2 - In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré's theorem and to Korn's inequality. © 2010 World Scientific Publishing Company.

AB - In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré's theorem and to Korn's inequality. © 2010 World Scientific Publishing Company.

KW - Korn's inequality

KW - Poincaré's theorem

UR - https://www.scopus.com/pages/publications/77951545018

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77951545018&origin=recordpage

U2 - 10.1142/S0219530510001497

DO - 10.1142/S0219530510001497

M3 - RGC 21 - Publication in refereed journal

SN - 0219-5305

VL - 8

SP - 1

EP - 17

JO - Analysis and Applications

JF - Analysis and Applications

IS - 1

ER -

Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

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