Improved Poincaré inequalities with weights

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In this paper we prove that if Ω ∈ Rn is a bounded John domain, the following weighted Poincaré-type inequality holds:under(inf, a ∈ R) {norm of matrix} f (x) - a {norm of matrix}Lq (Ω, w1) ≤ C {norm of matrix} ∇ f (x) d (x)α {norm of matrix}Lp (Ω, w2) where f is a locally Lipschitz function on Ω, d...

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Detalles Bibliográficos
Autores principales: Drelichman, I., Durán, R.G.
Formato: Artículo publishedVersion
Publicado: 2008
Materias:
John domains
Reverse doubling weights
Weighted Poincaré inequality
Weighted Sobolev inequality
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v347_n1_p286_Drelichman
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v347_n1_p286_Drelichman_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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