Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superposition in the $p$-Laplace Equation   That a superposition of fundamental solutions to the $p$-Laplace Equation is
$p$-superharmonic -- even in the non-linear cases $p>2$ -- has been known since
M. Crandall and J. Zhang published their paper "Another Way to Say Harmonic" in
2003. We give a simple proof and extend the result by means of an explicit
formula for the $p$-Laplacian of the superposition.

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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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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: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat