Bifurcation in a variational problem on a surface with a constraint | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 2، شماره 1، 2011، صفحه 1-10 اصل مقاله (209.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2011.51 | ||
| نویسنده | ||
| P. Viridis* | ||
| Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Calculus of Variations؛ Bifurcation points؛ Critical points؛ Boundary Value Problem for a PDE with mean curvature | ||
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