Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations
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Date
2021-04-24
Authors
Li, Xiaoyan
Yang, Bian-Xia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Radially symmetric solution, Extremal operators, Bifurcation, Nodal solution
Citation
Li, 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.
Rights
Attribution 4.0 International