Hu, XianLan, Yong-Yi2023-05-152023-05-152022-11-17Hu, X., & Lan, Y. Y. (2022). Positive solutions for Kirchhoff-Schrodinger equations via Pohozaev manifold. <i>Electronic Journal of Differential Equations, 2022</i>(75), pp. 1-13.1072-6691https://hdl.handle.net/10877/16799In this article we consider the Kirchhoff-Schrödinger equation -((ɑ + b ∫ℝ3 |∇u|2dx) ∆u + λu = k(x)ƒ(u), x ∈ ℝ3, where u H1(ℝ3), λ > 0, ɑ > 0, b ≥ 0 are real constants, k : ℝ3 → ℝ and ƒ ∈ C (ℝ, ℝ). To overcome the difficulties that k is non-symmetric and the non-linear, and that f is non-homogeneous, we prove the existence a positive solution using projections on a general Pohozaev type manifold, and the linking theorem.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalKirchhoff-Schrödinger equationPohozaev manifoldCerami sequenceLinking theoremArticle