Logo do repositório
 
Publicação

A one-dimensional prescribed curvature equation modeling the corneal shape.

2014-05Artigo científico Acesso restrito
Ver registo simples
dc.contributor.authorCoelho, Maria Isabel Esteves
dc.contributor.authorCorsato, Chiara
dc.contributor.authorOmari, Pierpaolo
dc.date.accessioned2015-08-25T13:25:01Z
dc.date.available2015-08-25T13:25:01Z
dc.date.issued2014-05
dc.description.abstractWe 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.citationCOELHO, 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.doi10.1186/1687-2770-2014-127
dc.identifier.issn1687-2770
dc.identifier.urihttp://hdl.handle.net/10400.21/4997
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringer International Publishing AGpor
dc.relation.ispartofseries127
dc.subjectMean Curvature Equationpor
dc.subjectBoundary Conditionpor
dc.subjectPositive Solutionpor
dc.subjectExistencepor
dc.subjectUniquenesspor
dc.subjectLinear Stabilitypor
dc.subjectOrder Stabilitypor
dc.subjectLyapunov Stabilitypor
dc.subjectLower and Upper Solutionspor
dc.subjectMonotone Approximationpor
dc.subjectTopological Degreepor
dc.titleA one-dimensional prescribed curvature equation modeling the corneal shape.por
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleBoundary Value Problemspor
rcaap.rightsclosedAccesspor
rcaap.typearticlepor

Ficheiros

Principais
A mostrar 1 - 1 de 1
Miniatura indisponível
Nome:
A ONE-DIMENSIONAL PRESCRIBED CURVATURE EQUATION MODELING THE CORNEAL SHAPE.pdf
Tamanho:
1.06 MB
Formato:
Adobe Portable Document Format
Ver/Abrir
Licença
A mostrar 1 - 1 de 1
Miniatura indisponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:
Ver/Abrir

Coleções

ISEL - Matemática - Artigos