Abstract
This paper deals with the existence of infinitely many solutions for a generalized form of Caffarelli–Kohn–Nirenberg-type equation in a Finsler manifold, with asymptotically linear term at infinity. This kind of nonlinear term creates some difficulties in the application of the symmetric mountain pass lemma because of the lack of Ambrosetti–Rabinowitz-type condition; hence, it is difficult to verify the classical (P S)c condition. To overcome this difficulty, we use an equivalent version of Cerami’s condition (C)c.
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