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.
Viridis,P . (2011). Bifurcation in a variational problem on a surface with a constraint. International Journal of Nonlinear Analysis and Applications, 2(1), 1-10. doi: 10.22075/ijnaa.2011.51
MLA
Viridis,P . "Bifurcation in a variational problem on a surface with a constraint", International Journal of Nonlinear Analysis and Applications, 2, 1, 2011, 1-10. doi: 10.22075/ijnaa.2011.51
HARVARD
Viridis P. (2011). 'Bifurcation in a variational problem on a surface with a constraint', International Journal of Nonlinear Analysis and Applications, 2(1), pp. 1-10. doi: 10.22075/ijnaa.2011.51
CHICAGO
P Viridis, "Bifurcation in a variational problem on a surface with a constraint," International Journal of Nonlinear Analysis and Applications, 2 1 (2011): 1-10, doi: 10.22075/ijnaa.2011.51
VANCOUVER
Viridis P. Bifurcation in a variational problem on a surface with a constraint. IJNAA. 2011;2(1):1-10. doi: 10.22075/ijnaa.2011.51
International Journal of Nonlinear Analysis and Applications