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Solvability of the Dirichlet Problem in W~(2,p )for a Class of Elliptic Equations with Singular Data
引用本文:Loredana CASO. Solvability of the Dirichlet Problem in W~(2,p )for a Class of Elliptic Equations with Singular Data[J]. 数学学报(英文版), 2014, 30(5): 737-746. DOI: 10.1007/s10114-014-3154-z
作者姓名:Loredana CASO
作者单位:DipartimentodiMatematica,Universit5diSalerno,ViaGiovanniPaoloII132,I-84084Fisciano(SA),Italy
摘    要:We prove an existence and uniqueness result for the Dirichlet problem for a class of elliptic equations with singular data in weighted Sobolev spaces.

关 键 词:Dirichlet问题  奇异椭圆方程  奇异数  Sobolev  可解  存在唯一性  空间数据  加权

Solvability of the Dirichlet problem in W 2,p for a class of elliptic equations with singular data
Loredana Caso,Roberta D’Ambrosio,Maria Transirico. Solvability of the Dirichlet problem in W 2,p for a class of elliptic equations with singular data[J]. Acta Mathematica Sinica(English Series), 2014, 30(5): 737-746. DOI: 10.1007/s10114-014-3154-z
Authors:Loredana Caso  Roberta D’Ambrosio  Maria Transirico
Affiliation:1. Dipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II 132, I - 84084, Fisciano (SA), Italy
Abstract:We prove an existence and uniqueness result for the Dirichlet problem for a class of elliptic equations with singular data in weighted Sobolev spaces.
Keywords:Elliptic equations  a priori estimates  uniqueness and existence results  weighted spaces
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