The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds |
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Authors: | Genqian Liu |
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Institution: | Department of Mathematics, Beijing Institute of Technology, Beijing, People?s Republic of China |
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Abstract: | Let Ω be a bounded domain with C2-smooth boundary in an n-dimensional oriented Riemannian manifold. It is well known that for the biharmonic equation Δ2u=0 in Ω with the condition u=0 on ∂Ω, there exists an infinite set {uk} of biharmonic functions in Ω with positive eigenvalues {λk} satisfying on ∂Ω. In this paper, by a new method we establish the Weyl-type asymptotic formula for the counting function of the biharmonic Steklov eigenvalues λk. |
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Keywords: | MSC: 35P20 58C40 58J50 |
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