Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents. - Archive ouverte HAL Access content directly
Journal Articles Analysis and Applications Year : 2010

Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's 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 Poincaré's theorem and to Korn's inequality.
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Dates and versions

hal-00444185 , version 1 (06-01-2010)

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Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet. Weak vector and scalar potentials. Applications to Poincaré's theorem and Korn's inequality in Sobolev spaces with negative exponents.. Analysis and Applications, 2010, 8 (1), pp.1-17. ⟨10.1142/s0219530510001497⟩. ⟨hal-00444185⟩
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