f(R) gravity is attracting a lot of interest as alternative
candidates to explain the observed cosmic acceleration and the
missing matter in large scale structures. Very likely, what we
call “Dark Matter” and “Dark Energy” are nothing else but signals
of the breakdown of General Relativity at large scales. Besides,
Solar System experiments do not exclude, a priori, the possibility
that such theories could give small observable effects also at
these scales. We review some results giving the basic ingredients
of such an approach.