  We prove the existence of a loop type component of non-negative solutions for
an indefinite elliptic equation with homogeneous Neumann boundary conditions.
This result complements our previous results obtained in [12], where the
existence of another loop type component was established in a different
situation. Our proof combines local and global bifurcation theory, rescaling
and regularizing arguments, a priori bounds, and Whyburn's topological method.
A further investigation of the loop type component established in [12] is also
provided.
