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Positive radial solutions for some quasilinear elliptic systems in exterior domains
On a variational inequality for the Navier-Stokes operator with variable viscosity
1. | Universidade Federal do Pará, Departamento de Matematica-CCEN, 66.075-110 Belém Pará, Brazil, Brazil |
$Lu=u'-(\nu_0+\nu_1||u(t)||^2)\Delta u+(u.\nabla )u-f+\nabla p.$
The mixed problem for the operator $L$ was proposed by J. L. Lions [6]. Using an appropriate penalization, we obtain a variational inequality for the Navier-Stokes perturbed system.
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