| Contents |
| We investigate the asymptotic profile as time goes to infinity of
solutions to porous-media like equations set in an unbounded open
region of $R^N$, with zero Neumann data prescribed on the boundary.
The boundary itself is assumed to be non-compact. We identify the
asymptotic profile which in fact is anisotropic due to the shape
of the domain itself. We also give an explicit rate of convergence to
such a profile, depending again on the shape of the domain. The latter
is assumed to satisfy suitable isoperimetric inequalities. |
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