In this paper we prove the existence of positive solutions of the following singular quasilinear Schrödinger equations at critical growthvia variational methods, where λ ≥ 0, 0 < α < 1/2, 2 < q < 2 * . It is interesting that we do not need to add a weight function to control |u| q−2 u.
In this paper, we study the p-Laplacian-Like equations involving Hardy potential or involving critical exponent and prove the existence of one or infinitely many nontrivial solutions. The results of the equations discussed can be applied to a variety of different fields in applied mechanics.
In this paper we prove the existence of positive solutions of the following singular quasilinear Schrödinger equations at critical growthvia variational methods, where λ ≥ 0, 0 < α < 1/2, 2 < q < 2 * . It is interesting that we do not need to add a weight function to control |u| q−2 u.
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