| dc.contributor.author | Crenshaw, Julie N. | |
| dc.contributor.author | Lancaster, Kirk E. | |
| dc.date.accessioned | 2013-07-08T17:17:08Z | |
| dc.date.available | 2013-07-08T17:17:08Z | |
| dc.date.issued | 2006-04 | |
| dc.identifier.citation | Crenshaw, Julie and Kirk Lancaster. 2006. Behavior of some CMC capillary surfaces at convex corners. Pacific Journal of Mathematics. | en_US |
| dc.identifier.issn | 0030-8730 | |
| dc.identifier.uri | http://msp.org/pjm/2006/224-2/p03.xhtml | |
| dc.identifier.uri | http://hdl.handle.net/10057/5878 | |
| dc.description | Click on the link to access the article (may not be free) | en_US |
| dc.description.abstract | We construct examples of nonparametric surfaces z = h(x, y) of zero mean
curvature which satisfy contact angle boundary conditions in a cylinder in
R3 over a convex domain with corners. When the contact angles for two
adjacent walls of the cylinder differ by more than −2 , where 2 is the
opening angle between the walls, the (bounded) solution h is shown to be
discontinuous at the corresponding corner. This is exactly the behavior
predicted by the Concus–Finn conjecture. These examples currently constitute
the largest collection of capillary surfaces for which the validity of
the Concus–Finn conjecture is known and, in particular, provide examples
for all contact angle data satisfying the condition above for opening angles
2 2 ( /2, ). | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Pacific Journal of Mathematics at the University of California | en_US |
| dc.relation.ispartofseries | Pacific Journal of Mathematics;v.224 no.2 | |
| dc.subject | Capillary graph | en_US |
| dc.subject | Minimal surface | en_US |
| dc.subject | Concus–Finn conjecture | en_US |
| dc.subject | Riemann–Hilbert problem | en_US |
| dc.title | Behavior of some CMC capillary surfaces at convex corners | en_US |
| dc.type | Article | en_US |
