relation: http://acta.bibl.u-szeged.hu/69535/ title: Multiple small solutions for Schrödinger equations involving the p-Laplacian and positive quasilinear term creator: Chong Dashuang creator: Zhang Xian creator: Huang Chen description: We consider the multiplicity of solutions of a class of quasilinear Schrödinger equations involving the p-Laplacian: −∆pu + V(x)|u| p−2u + ∆p(u 2 )u = K(x)f(x, u), x ∈ R N, where ∆pu = div(|∇u| p−2∇u), 1 < p < N, N ≥ 3, V, K belong to C(RN) and f is an odd continuous function without any growth restrictions at large. Our method is based on a direct modification of the indefinite variational problem to a definite one. Even for the case p = 2, the approach also yields new multiplicity results. date: 2020 type: Folyóirat type: NonPeerReviewed format: full language: hu identifier: http://acta.bibl.u-szeged.hu/69535/1/ejqtde_2020_031.pdf identifier: Chong Dashuang; Zhang Xian; Huang Chen: Multiple small solutions for Schrödinger equations involving the p-Laplacian and positive quasilinear term. (2020)