Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/4997
Título: A one-dimensional prescribed curvature equation modeling the corneal shape.
Autor: Coelho, Maria Isabel Esteves
Corsato, Chiara
Omari, Pierpaolo
Palavras-chave: Mean Curvature Equation
Boundary Condition
Positive Solution
Existence
Uniqueness
Linear Stability
Order Stability
Lyapunov Stability
Lower and Upper Solutions
Monotone Approximation
Topological Degree
Data: Mai-2014
Editora: Springer International Publishing AG
Citação: 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)
Relatório da Série N.º: 127
Resumo: 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.
Peer review: yes
URI: http://hdl.handle.net/10400.21/4997
DOI: 10.1186/1687-2770-2014-127
ISSN: 1687-2770
Aparece nas colecções:ISEL - Matemática - Artigos



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