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. https://doi.org/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
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
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