Bifurcation in a variational problem on a surface with a constraint

We describe a variational problem on a surface under a constraint of geometrical character. Necessary and sufficient conditions for the existence of bifurcation points are provided. In local coordinates, the problem corresponds to a quasilinear elliptic boundary value problem. The problem can be considered as a physical model for several applications referring to continuum medium and membranes.

کلیدواژه ها:

Calculus of Variations ، Bifurcation points ، Critical points ، Boundary Value Problem for a PDE with mean curvature