Journal of South China University of Technology(Natural Science Edition) ›› 2003, Vol. 31 ›› Issue (9): 50-52,81.

• Mathematics • Previous Articles     Next Articles

On a Semilinear Biharmonic Equation

Xiong Hui 1 Yang Jun 2 Shen Yao-tian 2   

  1. 1．Teaching ＆Research Section of Math．‚Dongguan Univ．of Tech．‚Dongguan523000‚China； 2．Dept．of Applied Mathematics‚South China Univ．of Tech．‚Guangzhou510640‚China
  • Online:2003-09-20 Published:2022-05-20

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Abstract: A semilinear biharmonic equation is studied．It is proved that in the space H 2（R N）‚there exists at least one positive solution in the case of lineary‚by using the Mountain Pass Theorem and the property of eigenfunction．

Key words: biharmonic problem, Mountain Pass geometry, eigenfunction

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