| WEIGHTED A PRIORI ESTIMATES FOR SOLUTION OF （-△）^mu = f WITH HOMOGENEOUS DIRICHLET CONDITIONS |
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| 作者姓名： | Ricardo G. Duran Marcela Sanmartino Marisa Toschi |
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| 作者单位： | [1]Facultad de Ciencias Exactas y Naturales, Universidad De Buenon Aires, Argentina [2]Facultad De Ciencias Exactas, Universidad Nacional De La Plata, Argentina |
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| 摘 要： | Let u be a weak solution of （-△）mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω C Rn. Then, the main goal of this paper is to prove the following a priori estimate：｜｜u｜｜w2m/ω·p（Ω）≤C｜｜f｜｜L^pω（Ω）,where ω is a weight in the Muckenhoupt class Ap.
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| 关 键 词： | Dirichlet边界条件 先验估计 加权 齐次 有界域 弱解 |
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