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The Regularity Estimates for the Elliptic Equations in Orlicz Classes

The Regularity Estimates for the Elliptic Equations in Orlicz Classes
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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. 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.
作者 TAO Xiang-xing FANG Yi
机构地区 School of Sciences
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期29-35,共7页 数学季刊（英文版）
基金 Supported by the NNSF of China(10771110,11171306) Supported by the the New Century 151 Talent Project of Zhejiang Province
关键词 regularity estimates Orlicz spaces ▽2-condition △2-condition regularity estimates； Orlicz spaces； ▽2-condition； △2-condition
分类号 O175.25 [理学—基础数学]
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参考文献7

  • 1FIORENZA A,KRBEC M. Indices of Orlicz spaces and some applications[J]. Comment Math Univ Carolinae,1997,38(3): 433-451.
  • 2JIA Hui-lian,LI Dong-sheng,WANG Li-he. Regularity theory in Orlicz spaces for the Poisson equation[J]. Manuscripta Mathematica,2007,122: 265-275.
  • 3GILBARG D,TRUDINGER N. Elliptic Partial Differential Equations of Second Order[M]. Berlin/New York: Springer-Verlag,1983.
  • 4Lu Qihong Tao Xiangxing.CHARACTERIZATION OF MAXIMAL OPERATORS IN ORLICZ-MORREY SPACES OF HOMOGENEOUS TYPE[J].Applied Mathematics(A Journal of Chinese Universities),2006,21(1):52-58. 被引量：3
  • 5ORLICZ W. eber eine gewisse klasse von ra¨umen vom typus B[J]. Bull Int Acad Pol,1932,8(A): 207-220.
  • 6TAO Xiang-xing,CHEN Qin-qin. The boundedness of maximal function in Orlicz-Campanato spaces of homogeneous type[J]. Georgian Math J,2008,15(2): 377-388.
  • 7YAO Feng-ping,JIA Hui-lian,WANG Li-he,et al. Regularity theory in Orlicz spaces for the Poisson and heat equations[J]. Comm Pure Appl Anal,2008,7: 407-416.

二级参考文献7

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  • 2Coifman R R,Weiss G. Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes,Lecture Notes in Math, Berlln-Heidelberg-New York :Springer-Verlag, 1971,242.
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共引文献2

Chinese Quarterly Journal of Mathematics
2012年 第1期

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