Abstract: We consider the so called Lane-Emden-Fowler equation,
We are interested in the case when is super-critical, i.e.
, and when the domain is an exterior domain, that is,
is of the form
where
be a
bounded open set with smooth boundary. Thus we
consider
The main result is that for any
there is a continuum of
solutions
,
small, to problem (1)-(2) such that
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This is joint work with Manuel del Pino (Universidad de Chile), Monica Musso (Politecnico di Torino & Universidad Católica) and Juncheng Wei (Chinese University of Hong Kong).