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| Weighted a priori estimates for solution of (−Δ) |
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| 作者姓名： | Ricardo G. Durn Marcela Sanmartino Marisa Toschi |
| 作者单位： | Facultad de Ciencias Exactas y Naturales, Universidad De Buenon Aires;Facultad De Ciencias Exactas, Universidad Nacional De La Plata |
| 摘 要： | Let u be a weak solution of (-△)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:‖u‖ Wω2 m,p(Ω) ≤ C ‖f‖ Lωp (Ω),where ω is a weight in the Muckenhoupt class Ap. |
| 关 键 词： | Dirichlet problem Green function Caldero′n-Zygmund theory weighted Sobolev space |
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