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Free and Constrained Equilibrium States in a Variational Problem on a Surface
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نویسنده
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Vyridis Panayotis
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منبع
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international journal of nonlinear analysis and applications - 2015 - دوره : 6 - شماره : 1 - صفحه:119 -134
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چکیده
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We study the equilibrium states for an energy functional with a parametric force eld 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 geomet- rical character is based on an analog of skrypnik's method, described in [8]. in local coordinates, equilibrium points satisfy an elliptic boundary value problem.
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کلیدواژه
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Calculus of Variations ,Critical points for the Energy Functional ,Boundary Value Problem for an Elliptic PDE ,Surface ,Curvature
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آدرس
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Unidad Profesional Interdisciplinaria de Ingeniería Campus Zacatecas, National Polytechnical Institute (I P N ), Department of Physics and Mathematics, Mexico
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پست الکترونیکی
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pvyridis@gmail.com
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Authors
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