Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (11): 1025-1034.

• Articles • Previous Articles     Next Articles

A PRIORI ESTIMATES TO THE MAXIMUM MODULUS OF GENERALIZEDSOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONSWITH ANISOTROPIC GROWTH CONDITIONS

Liang xi-ting1, Wang Xiang-dong2   

  1. 1. Department of Mathematies, Zhongshan University, Guangzhou;
    2. Department of Mathematies, Xuchang Teachers College, Zhengzhou
  • Received:1993-12-03 Online:1994-11-18 Published:1994-11-18
  • Supported by:

    Project supported partly by the Chinese National Education Committee Fund and by Zhongshan University Science Research Fund

Abstract: In this paper we give a priori estimates for the maximum modulus of generalizedsolulions of the quasilinear elliplic equations irith anisotropic growth condition.

Key words: vibration, complex modal, transfer function, eigenvalue, quasilinear elliptic equation, nonstandard growth condition, anisotropic Sobolev space, generalized solution, maximum mod-ulus, a priori estimate

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