Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and nonlinear stability of stationary states for the
  semi-relativistic Schr\"odinger-Poisson system   We study the stationary states of the semi-relativistic Schr\"odinger-Poisson
system in the repulsive (plasma physics) Coulomb case. In particular, we
establish the existence and the nonlinear stability of a wide class of
stationary states by means of the energy-Casimir method. We generalize the
global well-posedness result of our previous work for the semi-relativistic
Schr\"odinger-Poisson system to spaces with higher regularity.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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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: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org