free and constrained equilibrium states in a variational problem on a surface
نویسندگان
چکیده
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 cite{vyr3}. in local coordinates, equilibrium points satisfy an elliptic boundary value problem.
منابع مشابه
Free and constrained equilibrium states in a variational problem on a surface
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...
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عنوان ژورنال:
international journal of nonlinear analysis and applicationsناشر: semnan university
ISSN
دوره 6
شماره 1 2015
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