Biharmonic equation, Critical exponent, Multiple solutions.,"/> Existence of muliple positive solution for Δ<sup>2 α</sup>=λμ+μ<sup>(N+4)/(N-4)</sup>+μf(x)  

Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (2): 138-148.

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Existence of muliple positive solution for Δ2 α=λμ+μ(N+4)/(N-4)+μf(x)  

  

  1. (Huazhong Normal University, Wuhan 430079)

  • Online:1999-05-01 Published:1999-05-01

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Abstract:

In this paper, we discuss the existence and nonexistence of solutions for the problem

Δ2u =λu + u(N+4)/(N-4)+μf(x), x∈Ω,

u| Ω=Δu| Ω=0,

N>4, where Ω is a bounded smoothness domain in RN,λ∈R\+1,μ≥0,f(x) is a given nonnegative function. Some interesting results have been obtained.

Key words: Biharmonic equation, Critical exponent, Multiple solutions.')">Biharmonic equation, Critical exponent, Multiple solutions.

CLC Number: 

  • 35J
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