%0 Journal Article
%T Bifurcation in a variational problem on a surface with a constraint
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Viridis, P.
%D 2011
%\ 01/01/2011
%V 2
%N 1
%P 1-10
%! Bifurcation in a variational problem on a surface with a constraint
%K Calculus of Variations
%K Bifurcation points
%K Critical points
%K Boundary Value Problem for a PDE with mean curvature
%R 10.22075/ijnaa.2011.51
%X 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.
%U https://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf