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EXISTENCE OF POSITIVE SOLUTION FOR A BIHARMONIC EQUATION

EXISTENCE OF POSITIVE SOLUTION FOR A BIHARMONIC EQUATION
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摘要 In this paper we consider the biharmonic equation (?) in a smooth bounded domain Ω (?) RN with boundary condition (?) where N ≥5, 1 < q < 2, λ>0 and 2= (2N)/(N-4). We prove the existence of λ such that for 0 < λ < λ the above problem has a positive solution. In this paper we consider the biharmonic equation (?) in a smooth bounded domain Ω (?) RN with boundary condition (?) where N ≥5, 1 < q < 2, λ>0 and 2= (2N)/(N-4). We prove the existence of λ such that for 0 < λ < λ the above problem has a positive solution.
出处 《Annals of Differential Equations》 2005年第1期59-64,共6页 微分方程年刊(英文版)
基金 Supported by National Natural Science Foundation of China(l0171032)Natural Science Foundation of Guangdong Province(011606).
关键词 biharmonic equation critical point concentration-compactness principle biharmonic equation critical point concentration-compactness principle
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参考文献1

  • 1D. E. Edmunds,D. Fortunato,E. Jannelli.Critical exponents, critical dimensions and the biharmonic operator[J].Archive for Rational Mechanics and Analysis.1990(3)

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