  We study thin shells of matter in (2+1)-dimensional F(R) theories of gravity
with constant scalar curvature R. We consider a wide class of spacetimes with
circular symmetry, in which a thin shell joins an inner region with an outer
one. We analyze the stability of the static configurations under radial
perturbations. As examples of spacetimes asymptotically anti-de Sitter, we
present a charged bubble and a charged thin shell surrounding a non-charged
black hole. In both cases, we show that stable solutions can be found for
suitable values of the parameters.
