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A one-dimensional prescribed curvature equation modeling the corneal shape

2014-05Artigo científico Acesso aberto
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dc.contributor.authorCoelho, Maria Isabel Esteves
dc.contributor.authorCorsato, Chiara
dc.contributor.authorOmari, Pierpaolo
dc.date.accessioned2015-05-14T10:58:38Z
dc.date.available2015-05-14T10:58:38Z
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. (2014)por
dc.identifier.doi10.1186/1687-2770-2014-127
dc.identifier.issn1687-2770
dc.identifier.urihttp://hdl.handle.net/10400.21/4536
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringer International Publishing AGpor
dc.relation.ispartofseries127
dc.relation.publisherversionhttp://www.boundaryvalueproblems.com/content/2014/1/127por
dc.subjectMean curvature equationpor
dc.subjectMixed boundary 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 shapepor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleBoundary Value Problemspor
rcaap.rightsopenAccesspor
rcaap.typearticlepor

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