Acta mathematica scientia,Series B

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BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

Chen Zuchi; Li Du   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • Received:2005-10-08 Revised:2006-09-22 Online:2008-07-20 Published:2008-07-20
  • Contact: Chen Zuchi

Abstract:

In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local
solution and the global solution to a class of quasilinear elliptic systems with
p-Laplacian as its principal. They also obtain the continuous dependence of the solutions on the boundary data.

Key words: Elliptic system, degenerate, singular, contraction mapping principle, shooting method

CLC Number: 

  • 35J55
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