Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bulk-Boundary eigenvalues for Bilaplacian problems   We initiate the study of a bulk-boundary eigenvalue problem for the
Bilaplacian with a particular third order boundary condition that arises from
the study of dynamical boundary conditions for the Cahn-Hilliard equation.
First we consider continuity properties under parameter variation (in which the
parameter also affects the domain of definition of the operator). Then we look
at the ball and the annulus geometries (together with the punctured ball),
obtaining the eigenvalues as solutions of a precise equation involving special
functions. An interesting outcome of our analysis in the annulus case is the
presence of a bifurcation from the zero eigenvalue depending on the size of the
annulus.

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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th