Open AccessBifurcation in a variational problem on a surface with a distance constraint
Author(s) -
Panayotis Vyridís
Publication year - 2014
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.007.03.02
Subject(s) - mathematics , constraint (computer aided design) , bifurcation , surface (topology) , mathematical analysis , geometry , nonlinear system , physics , quantum mechanics
We describe a variational problem on a surface of a Euclidean space under a distance constraint. We provide sufficient 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. c ©2014 All rights reserved.
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