Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli
| dc.contributor.author | Brock, Friedemann | |
| dc.date.accessioned | 2021-01-27T21:29:53Z | |
| dc.date.available | 2021-01-27T21:29:53Z | |
| dc.date.issued | 2003-10-24 | |
| dc.description.abstract | We prove symmetry and monotonicity properties for local minimizers and stationary solutions of some variational problems related to semilinear elliptic equations in a cylinder (-α, α) x ω, where ω is a bounded smooth domain in ℝN-1. The admissible functions satisfy periodic boundary conditions on {±α} x ω, and some other conditions. We show also symmetry properties for related problems in annular domains. Our proofs are based on rearrangement arguments and on the Moving Plane Method. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Brock, F. (2003). Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli. <i>Electronic Journal of Differential Equations, 2003</i>(108), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13159 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Variational problems | |
| dc.subject | Periodic boundary conditions | |
| dc.subject | Neumann problem | |
| dc.subject | Symmetry of solutions | |
| dc.subject | Elliptic equation | |
| dc.subject | Cylinder | |
| dc.subject | Annulus | |
| dc.title | Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli | |
| dc.type | Article |