Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicity of normalized solutions for a class of nonlinear
  Schrodinger-Poisson-Slater equations   In this paper, we prove a multiplicity result of solutions for the following
stationary Schr\"odinger-Poisson-Slater equations
\begin{equation}\label{eq-abstract} -\Delta u - \lambda u + (\left | x \right
|^{-1}\ast \left | u \right |^2) u - |u|^{p-2}u = 0 \ \mbox{ in } \
\mathbb{R}^{3}, \end{equation} where $\lambda\in \R$ is a parameter, and $p\in
(2,6)$. The solutions we obtained have a prescribed $L^2$-norm. Our proofs are
mainly inspired by a recent work of Bartsch and De Valeriola [7].

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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat