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)