Articles

BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS

  • Chen Zuchi ,
  • Li Du
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  • Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received date: 2005-10-08

  Revised date: 2006-09-22

  Online published: 2008-07-20

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.

Cite this article

Chen Zuchi , Li Du . BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS[J]. Acta mathematica scientia, Series B, 2008 , 28(3) : 651 -664 . DOI: 10.1016/S0252-9602(08)60067-3

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