Abstract
We study connections between four different types of results that are concerned with vector-valued functions \(u:\varOmega \to \mathbb {R}^3\) of class L 2(Ω) on a domain \(\varOmega \subset \mathbb {R}^3\): Coercivity results in H 1(Ω) relying on div and curl, the Helmholtz decomposition, the construction of vector potentials, and the global div-curl lemma.
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Schweizer, B. (2018). On Friedrichs Inequality, Helmholtz Decomposition, Vector Potentials, and the div-curl Lemma. In: Rocca, E., Stefanelli, U., Truskinovsky, L., Visintin, A. (eds) Trends in Applications of Mathematics to Mechanics. Springer INdAM Series, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-319-75940-1_4
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DOI: https://doi.org/10.1007/978-3-319-75940-1_4
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