Artículos de Investigación
Published 2013-12-01
Keywords
- Critical points,
- bifurcation points,
- Skrypnik variational methods,
- energy functional,
- area integral
- boundary value problem for an elliptic partial diferential equation. ...More
- 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.