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- W2041034713 abstract "We get one theorem that there exists a unique solution for the fourth order semilinear elliptic Dirichlet boundary value problem when the number 0 and the coefficient of the semilinear part belong to the same open interval made by two successive eigenvalues of the fourth order elliptic eigenvalue problem. We prove this result by the contraction mapping principle. We also get another theorem that there exist at least two solutions when there exist $n$ eigenvalues of the fourth order elliptic eigenvalue problem between the coefficient of the semilinear part and the number 0. We prove this result by the critical point theory and the variation of linking method." @default.
- W2041034713 created "2016-06-24" @default.
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- W2041034713 date "2014-12-30" @default.
- W2041034713 modified "2023-09-25" @default.
- W2041034713 title "AT LEAST TWO SOLUTIONS FOR THE SEMILINEAR BIHARMONIC BOUNDARY VALUE PROBLEM" @default.
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- W2041034713 doi "https://doi.org/10.11568/kjm.2014.22.4.633" @default.
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