Jiang, ShuaiYin, Li-Feng2023-05-232023-05-232023-02-10Jiang, S., & Yin, L. F. (2023). Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials. <i>Electronic Journal of Differential Equations, 2023</i>(13), pp. 1-15.1072-6691https://hdl.handle.net/10877/16848We consider a class of Schrödinger-Kirchhoff equations in R3 with a general nonlinearity g and coercive sign-changing potential V so that the Schrödinger operator -aΔ +V is indefinite. The nonlinearity considered here satisfies the Ambrosetti-Rabinowitz type condition g(t)t≥μ G(t)>0 with μ>3. We obtain the existence of nontrivial solutions for this problem via Morse theory.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalSchrödinger-Kirchhoff equationsPalais-Smale conditionMorse theoryArticle