Acta mathematica scientia,Series B ›› 1991, Vol. 11 ›› Issue (2): 175-189.

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THE EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF HIGHER ORDER

Lu Guangcun   

  1. Dept. of Math., Northwestern Polytech. Univ., Xi'an, China
  • Received:1989-04-20 Revised:1989-11-22 Online:1991-06-25 Published:1991-06-25

Abstract: In this paper the following homogeneous Dirichlet problem is proved to have at least three solutions,Σk=1m(-1)kαk Σ|α|=kDαF(k)(Dku)+g(u)=0, in Ω u=(∂u)/∂v=…=(∂m-1u)∂vm-1=0, on ∂Ω.

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