Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1476-1480.

• Articles • Previous Articles    

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

BAI Zhan-bing   

  1. Department of Applied Mathematics, Petroleum University (East China), Dongying, Shandong 257061, P. R. China
  • Received:1998-10-05 Revised:2001-06-26 Online:2001-12-18 Published:2001-12-18

Abstract: The solvability of one dimensional fourth-order p-Laplace equations of the typewhere, g(v):=|v|p-2v, p>1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form fat zero and at infinity.

2010 MSC Number: 

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