Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lieb-Yau Conjecture for Ground States of Pseudo-Relativistic Boson
  Stars   It is known that ground states of the pseudo-relativistic Boson stars exist
if and only if the stellar mass $N>0$ satisfies $N<N^*$, where the finite
constant $N^*$ is called the critical stellar mass. Lieb and Yau conjecture in
[Comm. Math. Phys., 1987] that ground states of the pseudo-relativistic Boson
stars are unique for each $N<N^*$. In this paper, we prove that the above
uniqueness conjecture holds for the particular case where $N>0$ is small
enough.

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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom