Li, XiaoyanYang, Bian-Xia2021-08-232021-08-232021-04-24Li, X., & Yang, B. X. (2021). Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations. <i>Electronic Journal of Differential Equations, 2021</i>(31), pp. 1-19.1072-6691https://hdl.handle.net/10877/14428This article concerns the existence and multiplicity of radially symmetric nodal solutions to the nonlinear equation -M±C (D2u) = μƒ(u) in B, u = 0 on ∂B, M±C are general Hamilton-Jacobi-Bellman operators, μ is a real parameter and B is the unit ball. By using bifurcation theory, we determine the range of parameter μ in which the above problem has one or multiple nodal solutions according to the behavior of ƒ at 0 and ∞, and whether ƒ satisfies the signum condition ƒ(s)s > 0 for s ≠ 0 or not.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalRadially symmetric solutionExtremal operatorsBifurcationNodal solutionArticle