Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of minimax and continuation of critical points for
  singularly perturbed systems   We consider a competitive system of two stationary Gross-Pitaevskii equations
arising in the theory of Bose-Einstein condensation, and the corresponding
scalar equation. We address the question: "Is it true that every bounded family
of solutions of the system converges, as the competition parameter goes to
infinity, to a pair which difference solves the scalar equation?". We discuss
this question in the case when the solutions to the system are obtained as
minimax critical points via (weak) L^2 Krasnoselskii genus theory. Our results,
though still partial, give a strong indication of a positive answer.

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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph