Articles

INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS

  • LI Ke ,
  • WEI Hong-Jun
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  • Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China

Received date: 2009-12-14

  Revised date: 2010-09-08

  Online published: 2011-09-20

Supported by

The work is supported by Natural Science Foundation of China (10971199) and Natural Science Foundations of Henan Province (092300410067).

Abstract

Let X = (X1,  … , Xm) be an infinitely degenerate system of vector fields. The aim of this paper is to study the existence of infinitely many solutions for the sum of operators ΔX =∑mj=1X*j Xj .

Cite this article

LI Ke , WEI Hong-Jun . INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1899 -1910 . DOI: 10.1016/S0252-9602(11)60369-X

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