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 | 2015-08-25T13:25:01Z | |
| dc.date.available | 2015-08-25T13:25:01Z | |
| 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. ISSN: 1687-2770. Art. Nr. 127 (2014) | por |
| dc.identifier.doi | 10.1186/1687-2770-2014-127 | |
| dc.identifier.issn | 1687-2770 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/4997 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer International Publishing AG | por |
| dc.relation.ispartofseries | 127 | |
| dc.subject | Mean Curvature Equation | por |
| dc.subject | 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 | closedAccess | por |
| rcaap.type | article | por |
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