Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernstein Functions and Radial Limits of Prescribed Mean Curvature
  Surfaces   The radial limits at a point ${\bf y}$ of the boundary of the domain
$\Omega\subset {\bf R}^{2}$ of a bounded variational solution $f$ of Dirichlet
or contact angle boundary value problems for a prescribed mean curvature
equation are studied with an emphasis on the effects of assumptions about the
curvatures of the boundary $\partial\Omega$ on each side of the point ${\bf
y}.$ For example, at a nonconvex corner ${\bf y},$ we previously proved that
all nontangential radial limits of $f$ at ${\bf y}$ exist, here we provide
sufficient conditions for the tangential radial limits to exist, even when the
Dirichlet data $\phi\in L^{\infty}(\partial\Omega)$ has no one-sided limits at
${\bf y}$ or the contact angle $\gamma\in L^{\infty}(\partial\Omega:[0,\pi])$
is not bounded away from $0$ or $\pi.$ We also provide a complement to a 1976
Theorem by Leon Simon on least area surfaces.

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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph