On the Eigenfunctions and Associated Functions of a Nonlocal Spectral Problem for a Biharmonic Equation

In this paper, a nonlocal spectral problem for the biharmonic equations in $$n$$ -dimensional ball is studied. It is proven that the problem has a complete system of eigenfunctions and associated functions in $$H^{\frac{3}{2}}(\Omega)$$ , and the eigenvalues asymptotically approach the real axis.

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