On a Volume-Constrained Variational Problem
نویسندگان
چکیده
منابع مشابه
On a Volume Constrained Variational Problem
Existence of minimizers for a volume constrained energy
متن کاملOn a Volume Constrained Variational
Existence of minimizers for a volume constrained energy E(u) := Z W (ru) dx where L N (fu = zig) = i; i = 1; : : : ; P; is proved in the case where zi are extremal points of a compact, convex set in R d and under suitable assumptions on a class of quasiconvex energy densities W. Optimality properties are studied in the scalar-valued problem where d = 1, P = 2, W () = jj 2 , and the ?-limit as t...
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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 coordinate...
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We consider image registration, which is the determination of a geometrical transformation between two data sets. In this paper we propose constrained variational methods which aim for controlling the change of area or volume under registration transformation. We prove an existence result, convergence of a finite element method, and present a simple numerical example for volume-preserving regis...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 1999
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s002050050166