Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (2): 379-394.

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Gradient Estimates for Weak Solutions to Non-Homogeneous A-Harmonic Equations Under Natural Growth

Yanan Zhang,Shuo Yan,Yuxia Tong*()   

  1. College of Science, North China University of Science and Technology, Hebei Tangshan 063210
  • Received:2018-12-28 Online:2020-04-26 Published:2020-05-21
  • Contact: Yuxia Tong E-mail:tongyuxia@126.com
  • Supported by:
    the Social Science Fund of Hebei Province(HB17YJ094)

Abstract:

The gradient estimates for weak solutions to non-homogeneous A-harmonic equations under natural growth is obtained. The Lp-type estimates for such equation is derived under natural growth, and then the Lφ-type estimate in Orlicz space is derived by a new iteration-covering approach.

Key words: A-Harmonic equation, Weak solution, Gradient estimate

CLC Number: 

  • O175.25
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