Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic analysis and sign changing bubble towers for Lane-Emden
  problems   We consider the semilinear Lane-Emden problem in a smooth bounded domain of
the plane. The aim of the paper is to analyze the asymptotic behavior of sign
changing solutions as the exponent p of the nonlinearity goes to infinity.
Among other results we show, under some symmetry assumptions on the domain,
that the positive and negative parts of a family of symmetric solutions
concentrate at the same point, as p goes to infinity, and the limit profile
looks like a tower of two bubbles given by a superposition of a regular and a
singular solution of the Liouville problem in the plane.

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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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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: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph