Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions

dc.creator	Durán, Ricardo Guillermo
dc.creator	Sanmartino, Marcela
dc.creator	Toschi, Marisa
dc.date	2010
dc.date	2022-12-02T17:07:30Z
dc.date.accessioned	2023-07-15T04:55:37Z
dc.date.available	2023-07-15T04:55:37Z
dc.identifier	http://sedici.unlp.edu.ar/handle/10915/146795
dc.identifier	issn:1672-4070
dc.identifier	issn:1573-8175
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/7471417
dc.description	Let u be a weak solution of (−Δ)m u = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ R n. Then, the main goal of this paper is to prove the following a priori estimate: ∥u∥W2m,pω(Ω)⩽C∥f∥Lpω(Ω), where ω is a weight in the Muckenhoupt class A p .
dc.description	Facultad de Ciencias Exactas
dc.format	application/pdf
dc.format	339-349
dc.language	en
dc.rights	http://creativecommons.org/licenses/by/4.0/
dc.rights	Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.subject	Ciencias Exactas
dc.subject	Dirichlet problem
dc.subject	Green function
dc.subject	Calderón-Zygmund theory
dc.subject	weighted Sobolev space
dc.title	Weighted a priori estimates for solution of (−Δ)m u = f with homogeneous dirichlet conditions
dc.type	Articulo
dc.type	Articulo