Divergence operator and Poincaré inequalities on arbitrary bounded domains

Let Ω be an arbitrary bounded domain of ℝⁿ . We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincare inequalities on Ω. We recover, in particular, well-known result...

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Detalles Bibliográficos
Autores principales: Durán, Ricardo Guillermo, Muschietti, María Amelia, Russ, Emmanuel, Tchamitchian, Philippe
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2010
Materias:
Ciencias Exactas
Matemática
divergence
Poincaré inequalities
geodesic distance
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127817
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata

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