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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