Santos, Carlos AlbertoZhou, Jiazheng2022-02-022022-02-022018-05-03Santos, C. A., & Zhou, J. (2018). Unbounded solutions for Schrodinger quasilinear elliptic problems with perturbation by a positive non-square diffusion term. <i>Electronic Journal of Differential Equations, 2018</i>(102), pp. 1-11.1072-6691https://hdl.handle.net/10877/15269In this article, we present a version of Keller-Osserman condition for the Schrödinger quasilinear elliptic problem -∆u + k/2 u∆u2 = α(x)g(u) in ℝN u > 0 in ℝN, lim|x|→∞ u(x) = ∞, where α : ℝN → [0, ∞) and g : [0, ∞) are suitable continuous functions, N ≥ 1, and k > 0 is a parameter. By combining a dual approach and this version of Keller-Osserman condition, we show the existence and multiplicity of solutions.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalSchrödinger equationsBlow up solutionsQuasilinear problemsNon-square diffusionMultiplicity of solutionsArticle