Publication
A one-dimensional prescribed curvature equation modeling the corneal shape
| dc.contributor.author | Coelho, Maria Isabel Esteves | |
| dc.contributor.author | Corsato, Chiara | |
| dc.contributor.author | Omari, Pierpaolo | |
| dc.date.accessioned | 2015-05-14T10:58:38Z | |
| dc.date.available | 2015-05-14T10:58:38Z | |
| dc.date.issued | 2014-05 | |
| dc.description.abstract | We prove existence, uniqueness, and stability of solutions of the prescribed curvature problem (u'/root 1 + u'(2))' = au - b/root 1 + u'(2) in [0, 1], u'(0) = u(1) = 0, for any given a > 0 and b > 0. We also develop a linear monotone iterative scheme for approximating the solution. This equation has been proposed as a model of the corneal shape in the recent paper (Okrasinski and Plociniczak in Nonlinear Anal., Real World Appl. 13:1498-1505, 2012), where a simplified version obtained by partial linearization has been investigated. | por |
| dc.identifier.citation | COELHO, Maria Isabel Esteves; CORSATO, Chiara; OMARI, Pierpaolo - A one-dimensional prescribed curvature equation modeling the corneal shape. Boundary Value Problems. (2014) | por |
| dc.identifier.doi | 10.1186/1687-2770-2014-127 | |
| dc.identifier.issn | 1687-2770 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/4536 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer International Publishing AG | por |
| dc.relation.ispartofseries | 127 | |
| dc.relation.publisherversion | http://www.boundaryvalueproblems.com/content/2014/1/127 | por |
| dc.subject | Mean curvature equation | por |
| dc.subject | Mixed boundary condition | por |
| dc.subject | Positive solution | por |
| dc.subject | Existence | por |
| dc.subject | Uniqueness | por |
| dc.subject | Linear stability | por |
| dc.subject | Order stability | por |
| dc.subject | Lyapunov stability | por |
| dc.subject | Lower and upper solutions | por |
| dc.subject | Monotone approximation | por |
| dc.subject | Topological degree | por |
| dc.title | A one-dimensional prescribed curvature equation modeling the corneal shape | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.title | Boundary Value Problems | por |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
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