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Revista de la
Unión Matemática Argentina
On the self-conjugateness of differential forms on bounded domains
Ricardo Abreu Blaya, Juan Bory Reyes, Efrén Morales Amaya, and José María Sigarreta Almira
Volume 60, no. 1 (2019), pp. 247–256    

https://doi.org/10.33044/revuma.v60n1a15

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Abstract

Suppose Ω is a bounded domain in Rn with boundary Γ and let W be a non-homogeneous differential form harmonic in Ω and Hölder-continuous in ΩΓ. In this paper we study and obtain some necessary and sufficient conditions for the self-conjugateness of W in terms of its boundary value W|Γ=ω.