Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 29-35.

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The Regularity Estimates for the Elliptic Equations in Orlicz Classes

  

  1. School of Sciences, Zhejiang University of Science Technology

  • Received:2009-08-11 Online:2012-03-30 Published:2023-04-04
  • About author:TAO Xiang-xing(1966-), male, native of Hangzhou, Zhejiang, a professor of Zhejiang University of Science and Technology, Ph.D., engages in PDE; FANG Yi(1985-), male, native of Hefei, Anhui, a Ph.D. of Zhejiang University of Science and Technology, engages in PDE.
  • Supported by:
    Supported by the NNSF of China(10771110,11171306); Supported by the New Century 151 Talent Project of Zhejiang Province

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.

Key words: regularity estimates, Orlicz spaces, condition

CLC Number: