Vol. 23 (2013): (NE-2) Cálculo fraccionario
Artículos de investigación

Bifurcation in calculus of variations with constraints

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  • Panayotis Vyridís
Panayotis Vyridís Academia de Físico-Matemáticas, Campus Zacatecas (UPIIZ), Instituto Politécnico Nacional (IPN). Boulevard El Bote s/n, Cerro del Gato, Ejido la Escondida, col. Cd. Administrativa, Zacatecas, Zac. México. 98160.

Published 2013-12-01

Keywords

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How to Cite

Bifurcation in calculus of variations with constraints. (2013). Acta Universitaria, 23, 27-31. https://doi.org/10.15174/au.2013.583

Abstract

We describe a variational problem on a domain of a plane under a constraint of geometrical character. We provide sufficient and necessary conditions for the existence of bifurcation points. The problem in ï’2 coordinate form, corresponds to a quasilinear elliptic boundary value problem. The problem provides a physical model for several applications referring to continuum media and membranes.

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References