  We prove existence of Yamabe metrics on singular manifolds with conical
points and conical links of Einstein type that include orbifold structures. We
deal with metrics of generic type and derive a counterpart of Aubin's classical
result. Interestingly, the singular nature of the metric determines a different
condition on the dimension, compared to the regular case. We derive asymptotic
expansions on the Yamabe quotient by adding a proper and implicit lower-order
correction to standard bubbles, whose contribution to the expansion of the
quotient can be determined combining the decomposition of symmetric two-tensor
fields and Fourier analysis on the conical links.
