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