Geodesic
Bifurcation in a variational problem on a surface with a distance constraint
Vyridis, Panayotis1
1 Department of Physics and Mathematics, National Polytechnical Institute (I.P.N.), Campus Zacatecas (U.P.I.I.Z.), Zacatecas, Mexico
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 160-167.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We describe a variational problem on a surface of a Euclidean space under a distance constraint. We provide sufficient and necessary conditions for the existence of bifurcation points, generalizing Skrypnik's analog described in [P. Vyridis, Int. J. Nonlinear Anal. Appl. 2 (2011), 1-10]. The problem in local coordinates corresponds to an elliptic boundary value problem.
DOI : 10.22436/jnsa.007.03.02
Classification : 58E30, 58E07, 58E10.
Keywords: Calculus of Variations, Critical points, Bifurcation points, Distance function, Curvatures of a Surface, Boundary value problem for an elliptic PDE.

Vyridis, Panayotis 1

1 Department of Physics and Mathematics, National Polytechnical Institute (I.P.N.), Campus Zacatecas (U.P.I.I.Z.), Zacatecas, Mexico 
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Vyridis, Panayotis. Bifurcation in a variational problem on a surface with a distance constraint. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 160-167. doi : 10.22436/jnsa.007.03.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.03.02/

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