Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations
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This 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.
CitationLi, X., & Yang, B. X. (2021). Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations. Electronic Journal of Differential Equations, 2021(31), pp. 1-19.
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