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On a variational inequality for the Navier-Stokes operator with variable viscosity
Positive radial solutions for some quasilinear elliptic systems in exterior domains
| 1. | Departamento de Matemática, Universidade Fededral da Paraíba, 58059-900, João Pessoa-PB, Brazil |
| 2. | Departamento de Matemática, Universidad de Tarapacá, Casilla 7-D, Arica, Chile |
| 3. | Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile |
| 4. | Departamento de Matemáticas y C. C.,Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile |
$-\Delta_p u = k_1(|x| )f(u,v),$ for $|x| > 1$ and $x \in \mathbb R^N, $
$-\Delta_p v = k_2(|x|)g(u,v),$ for $|x| > 1 $ and $x \in \mathbb R^N, $
$u(x) = v(x) =0,$ for $|x| =1, $
$u(x), v(x) \rightarrow 0 $ as $|x| \rightarrow +\infty,$
where $1 < p < N $ and $\Delta_p u=$ div $(|\nabla u|^{p-2}\nabla u )$ is the p-Laplacian operator. We consider nonlinearities that are either superlinear or sublinear.
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