Title of article
Bifurcation in a variational problem on a surface with a distance constraint
Author/Authors
Vyridis ، Panayotis - National Polytechnical Institute (I.P.N.)
Pages
8
From page
160
To page
167
Abstract
We describe a variational problem on a surface of a Euclidean space under a distance constraint. We provide su cient and necessary conditions for the existence of bifurcation points, generalizing Skrypnik s analog described in [P. Vyridis, Int. J. Nonlinear Anal. Appl. 2 (2011), 1{10]. The problem in local coordinates corresponds to an elliptic boundary value problem.
Keywords
Calculus of Variations , Critical points , Bifurcation points , Distance function , Curvatures of a Surface , Boundary value problem for an elliptic PDE
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2014
Journal title
Journal of Nonlinear Science and Applications
Record number
2475454
Link To Document