Multiple solutions for quasilinear elliptic equations with sign-changing potential

Date

2016-01-06

Authors

Wang, Ruimeng
Wang, Kun
Teng, Kaimin

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study the quasilinear elliptic equation -Δpu - (Δpu2)u + V(x)|u|p-2 u = g(x, u), x ∈ ℝN, where the potential V(x) and the nonlinearity g(x, u) are allowed to be sign-changing. Under some suitable assumptions on V and g, we obtain the multiplicity of solutions by using minimax methods.

Description

Keywords

Quasilinear Schrödinger equation, Symmetric mountain pass theorem, Cerami condition

Citation

Wang, R., Wang, K., & Teng, K. (2016). Multiple solutions for quasilinear elliptic equations with sign-changing potential. <i>Electronic Journal of Differential Equations, 2016</i>(10), pp. 1-19.

Rights

Attribution 4.0 International

Rights Holder

Rights License