Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic confinement for the 3D Robin Laplacian   We determine accurate asymptotics of the lowest eigenvalue for the Laplace
operator with a smooth magnetic field and Robin boundary conditions in a smooth
3D domain, when the Robin parameter tends to $+\infty$. Our results identify a
critical regime where the contribution of the magnetic field and the Robin
condition are of the same order. In this critical regime, we derive an
effective operator defined on the boundary of the domain.

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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-bio