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摘要
In this article, the authors obtain an integral representation for the relaxation of the functional
F(x,u,Omega) := {integral(Omega) f(x), u(x), epsilon u(x))dx if u is an element of W(1,1)(Omega, R(N)),
+infinity otherwise,
in the space of functions of bounded deformation, with respect to L(1)-convergence. Here epsilon u represents the absolutely continuous part of the symmetrized distributional derivative Eu.f(x,p,xi) (x, p,) satisfying weak convexity assumption.
- 出版日期2008-10
- 单位江苏师范大学
