  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.
