  In this paper, we study the existence of multiple solutions to a
Caffarelli-Kohn-Nirenberg type equation with asymptotically linear term at
infinity. In this case, the well-known Ambrosetti-Rabinowtz type condition
doesn't hold, hence it is difficult to verify the classical (PS)$_c$ condition.
To overcome this difficulty, we use an equivalent version of Cerami's
condition, which allows the more general existence result.
