Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Vector variational problem with knitting boundary conditions


Authors: Graça Carita, Vladimir V. Goncharov and Georgi V. Smirnov
Journal: Quart. Appl. Math. 75 (2017), 249-265
MSC (2010): Primary 49J45, 74B20, 92C50
DOI: https://doi.org/10.1090/qam/1457
Published electronically: October 5, 2016
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Abstract: We consider a variational problem with a polyconvex integrand and nonstandard boundary conditions that can be treated as minimization of the strain energy during the suturing process in plastic surgery. Existence of minimizers is proved and necessary optimality conditions are discussed.


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Additional Information

Graça Carita
Affiliation: CIMA, Universidade de Évora, Rua Romão Ramalho 59, 7000-671, Évora, Portugal
Email: gcarita@uevora.pt

Vladimir V. Goncharov
Affiliation: CIMA, Universidade de Évora, Rua Romão Ramalho 59, 7000-671, Évora, Portugal – and – Institute of System Dynamics and Control Theory, RAS, ul. Lermontov 134, 664033, Irkutsk
Email: goncha@uevora.pt

Georgi V. Smirnov
Affiliation: Universidade do Minho, Braga, Portugal
Email: smirnov@math.uminho.pt

DOI: https://doi.org/10.1090/qam/1457
Keywords: Calculus of variations, polyconvex integrand, coercivity assumptions, trace operator, knitting boundary conditions
Received by editor(s): October 1, 2015
Published electronically: October 5, 2016
Article copyright: © Copyright 2016 Brown University

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