Abstract
In this paper, by variational methods, we study the existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent. In particular, the first result is based on the Ambrosetti-Rabinowitz condition. Moreover, the second results are established via the Pohožaev identity. Finally, the last results are not based on the Ambrosetti-Rabinowitz condition and we use generalized conditions to prove the results.
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