Document Type : Research Paper

Author

• P. Viridis

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

Abstract

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.

Keywords

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