Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions

Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenho...

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Detalles Bibliográficos
Autores principales: Durán, R.G., Sanmartino, M., Toschi, M.
Formato: JOUR
Materias:
Calderón-Zygmund theory
Dirichlet problem
Green function
weighted Sobolev space
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_16724070_v26_n4_p339_Duran
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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