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

数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (2): 175-189.

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

卢广存

Dept. of Math., Northwestern Polytech. Univ., Xi'an, China

收稿日期:1989-04-20 修回日期:1989-11-22 出版日期:1991-06-25 发布日期:1991-06-25

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

Lu Guangcun

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

摘要/Abstract

摘要： In this paper the following homogeneous Dirichlet problem is proved to have at least three solutions,Σ_k=1^m(-1)^kα_k Σ_|α|=kD^αF^(k)(D^ku)+g(u)=0, in Ω u=(∂u)/∂v=…=(∂^m-1u)∂v^m-1=0, on ∂Ω.

卢广存. THE EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF HIGHER ORDER[J]. 数学物理学报(英文版), 1991, 11(2): 175-189.

Lu Guangcun. THE EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF HIGHER ORDER[J]. Acta mathematica scientia,Series B, 1991, 11(2): 175-189.

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

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

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