Vector variational problem with knitting boundary conditions-Reference-Cited by-同舟云学术

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Vector variational problem with knitting boundary conditions

Published:2016-10-05 Issue:2 Volume:75 Page:249-265
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Carita Graça,Goncharov Vladimir,Smirnov Georgi

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/2017-75-02/S0033-569X-2016-01457-5/S0033-569X-2016-01457-5.pdf

Reference31 articles.

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3. Semicontinuity problems in the calculus of variations;Acerbi, Emilio;Arch. Rational Mech. Anal.,1984

4. N. Ayache and H. Delingette (Eds.), Surgery Simulation and Soft Tissue Modelling, Lecture Notes in Computing Science, Springer, Berlin, 2003.

5. Convexity conditions and existence theorems in nonlinear elasticity;Ball, John M.;Arch. Rational Mech. Anal.,1976

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