Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of standing waves for the complex Ginzburg-Landau equation   We prove the existence of non-trivial standing wave solutions of the complex
Ginzburg-Landau equation $\phi_t - e^{i\theta}(\rho I- \Delta) \varphi -
e^{i\gamma} |\phi |^\alpha \varphi =0 $ in $\Rn$, where $(N-2)\alpha <4$,
$\theta ,\gamma \in (-\pi /2,\pi /2)$ and $\rho >0$. Analogous result is
obtained in a ball $\Omega \in\Rn$ for $\rho >-\lambda_1$, where $\lambda_1$ is
the first eigenvalue of the Laplace operator with Dirichlet boundary
conditions.

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The categories of this paper are: eess
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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: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin