Keywords
Critical points
bifurcation points
Skrypnik variational methods
energy functional
area integral
boundary value problem for an elliptic partial diferential equation. Puntos críticos
puntos de bifurcación
métodos variacionales de Skrypnik
funcional de energía integral de área
problema de valores en la frontera para una ecuación diferencial parcial elíptica.
bifurcation points
Skrypnik variational methods
energy functional
area integral
boundary value problem for an elliptic partial diferential equation. Puntos críticos
puntos de bifurcación
métodos variacionales de Skrypnik
funcional de energía integral de área
problema de valores en la frontera para una ecuación diferencial parcial elíptica.
How to Cite
Vyridís, P. (2013). Bifurcation in calculus of variations with constraints. 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 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.