Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calder\'on problem for the p-Laplacian: First order derivative of
  conductivity on the boundary   We recover the gradient of a scalar conductivity defined on a smooth bounded
open set in $\mathbb{R}^d$ from the Dirichlet to Neumann map arising from the
$p$-Laplace equation. For any boundary point we recover the gradient using
Dirichlet data supported on an arbitrarily small neighbourhood of the boundary
point. We use a Rellich-type identity in the proof. Our results are new when $p
\neq 2$. In the $p = 2$ case boundary determination plays a role in several
methods for recovering the conductivity in the interior.

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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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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: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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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: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc