Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (4): 487-.

• Articles • Previous Articles     Next Articles

SOME EXISTENCE RESULTS OF SOLUTIONS FOR p-LAPLACIAN

 CHEN Zhi-Hui, CHEN Yao-Tian, TAO Ang-Xin   

  1. Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China,
  • Online:2003-10-06 Published:2003-10-06
  • Supported by:

    Supported by the National Natural Science Foundation
    of China(10171032) and the Guangdong Provincial Natural Science Foundation of China(011606).

Abstract:

In this paper the Dirichlet problem for p-Laplacian (p > 1) is considered.
Under suitable conditions and by using critical point theory the existence of solutions for
the Dirichlet problem is studied, and some results in the literature are improved.

Key words: p-Laplacian, critical point, (PSC) condition

CLC Number: 

  • 35J60
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