Wang, RuimengWang, KunTeng, Kaimin2023-05-252023-05-252016-01-06Wang, 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. 1-19.1072-6691https://hdl.handle.net/10877/16882In 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.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalQuasilinear Schrödinger equationSymmetric mountain pass theoremCerami conditionArticle