Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations
| dc.contributor.author | Li, Xiaoyan | |
| dc.contributor.author | Yang, Bian-Xia | |
| dc.date.accessioned | 2021-08-23T18:49:52Z | |
| dc.date.available | 2021-08-23T18:49:52Z | |
| dc.date.issued | 2021-04-24 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14428 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Radially symmetric solution | |
| dc.subject | Extremal operators | |
| dc.subject | Bifurcation | |
| dc.subject | Nodal solution | |
| dc.title | Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations | en_US |
| dc.type | Article |