Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative estimates on Jacobians for hybrid inverse problems   We consider $\sigma$-harmonic mappings, that is mappings $U$ whose components
$u_i$ solve a divergence structure elliptic equation ${\rm div} (\sigma \nabla
u_i)=0$, for $i=1,\ldots,n $. We investigate whether, with suitably prescribed
Dirichlet data, the Jacobian determinant can be bounded away from zero. Results
of this sort are required in the treatment of the so-called hybrid inverse
problems, and also in the field of homogenization studying bounds for the
effective properties of composite materials.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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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: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int