Vyridis, P. (2015). Free and constrained equilibrium states in a variational problem on a surface. International Journal of Nonlinear Analysis and Applications, 6(1), 119-134. doi: 10.22075/ijnaa.2015.223
Panayotis Vyridis. "Free and constrained equilibrium states in a variational problem on a surface". International Journal of Nonlinear Analysis and Applications, 6, 1, 2015, 119-134. doi: 10.22075/ijnaa.2015.223
Vyridis, P. (2015). 'Free and constrained equilibrium states in a variational problem on a surface', International Journal of Nonlinear Analysis and Applications, 6(1), pp. 119-134. doi: 10.22075/ijnaa.2015.223
Vyridis, P. Free and constrained equilibrium states in a variational problem on a surface. International Journal of Nonlinear Analysis and Applications, 2015; 6(1): 119-134. doi: 10.22075/ijnaa.2015.223
Free and constrained equilibrium states in a variational problem on a surface
Department of Physics and Mathematics, National Polytechnical Institute (I.P.N.), Campus Zacatecas (U.P.I.I.Z) P. C. 098160, Zacatecas, Mexico.
Abstract
We study the equilibrium states for an energy functional with a parametric force field on a region of a surface. Consideration of free equilibrium states is based on Lyusternik - Schnirelman's and Skrypnik's variational methods. Consideration of equilibrium states under a constraint of geometrical character is based on an analog of Skrypnik's method, described in [P. Vyridis, {\it Bifurcation in a Variational Problem on a Surface with a Constraint}, Int. J. Nonlinear Anal. Appl. 2 (1) (2011), 1-10]. In local coordinates, equilibrium points satisfy an elliptic boundary value problem.
Top