Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial continuity for nonlinear systems with nonstandard growth and
  discontinuous coefficients   We obtain new partial H\"older continuity results for solutions to divergence
form elliptic systems with discontinuous coefficients, obeying $p(x)$-type
nonstandard growth conditions. By an application of the method of
$\mathcal{A}$-harmonic approximation, we are able to allow for both
VMO-discontinuities in the coefficients, and the minimal $\log$-H\"older
regularity assumption on the exponent function. In doing so, we recover a local
version of the quantisation phenomenon characteristic continuous coefficient
case.

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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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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: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ