Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrodinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent

摘要

In this paper, by variational methods, we study the existence and nonexistence of positive solutions for a class of generalized quasilinear Schrodinger 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 Poho. zaev identity. Finally, the last results are not based on the Ambrosetti-Rabinowitz condition and we use generalized conditions to prove the results. Published by AIP Publishing.