On the self-conjugateness of differential forms on bounded domains

Ricardo Abreu Blaya ^[1] ; Juan Bory Reyes ^[2] ; Efrén Morales Amaya ^[3] ; José María Sigarreta Almira ^[3]
1. [1] Universidad de Holguín
  
  Universidad de Holguín
  
  Cuba
2. [2] Instituto Politécnico Nacional
  
  Instituto Politécnico Nacional
  
  México
3. [3] Universidad Autónoma de Guerrero
  
  Universidad Autónoma de Guerrero
  
  México
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Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 1, 2019, págs. 247-256
Idioma: inglés
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Resumen
- 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 Ω∪Γ. 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.