Bifurcation in a variational problem on a surface with a constraint

Document Type : Research Paper


Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece


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.


  • Receive Date: 08 January 2010
  • Revise Date: 03 May 2010
  • Accept Date: 11 May 2010