WEIGHTED A PRIORI ESTIMATES FOR SOLUTION OF (-△)^mu = f WITH HOMOGENEOUS DIRICHLET CONDITIONS

(整期优先)网络出版时间:2010-04-14
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Letubeaweaksolutionof(-△)mu=fwithDirichletboundaryconditionsinasmoothboundeddomainΩRn.Then,themaingoalofthispaperistoprovethefollowingaprioriestimate:‖u‖Wω2m,p(Ω)≤C‖f‖Lωp(Ω),whereωisaweightintheMuckenhouptclassAp.