Multiple solutions to a Caffarelli-Kohn-Nirenberg type equation with asymptotically linear term

الأصل · EN

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.