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椭圆方程在Orlicz类中的正则估计(英文)
引用本文:陶祥兴,方益.椭圆方程在Orlicz类中的正则估计(英文)[J].数学季刊,2012(1):29-35.
作者姓名:陶祥兴  方益
作者单位:School of Sciences,Zhejiang University of Science Technology
基金项目:Supported by the NNSF of China(10771110,11171306);Supported by the the New Century 151 Talent Project of Zhejiang Province
摘    要:The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations.The global regularities in Orlicz for the second order derivatives of the solutions of the Dirichlet problems are also given.

关 键 词:regularity  estimates  Orlicz  spaces  ▽2-condition  △2-condition

The Regularity Estimates for the Elliptic Equations in Orlicz Classes
TAO Xiang-xing,FANG Yi.The Regularity Estimates for the Elliptic Equations in Orlicz Classes[J].Chinese Quarterly Journal of Mathematics,2012(1):29-35.
Authors:TAO Xiang-xing  FANG Yi
Institution:(School of Sciences,Zhejiang University of Science Technology,Hangzhou 310023,China)
Abstract:The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations.The global regularities in Orlicz for the second order derivatives of the solutions of the Dirichlet problems are also given.
Keywords:regularity estimates  Orlicz spaces  ▽2-condition  △2-condition
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