吕中学; 杨孝平
Lü Zhongxue; Yang Xiaoping
摘要:
In this article, the authors obtain an integral representation for the relaxation of the functional F(x, u, Ω):={∫Ω f(x, u(x), εu(x))dx if u ∈ W1, 1(Ω, RN), +∞ otherwise,
in the space of functions of bounded deformation, with respect to L1-convergence. Here εu represents the absolutely continuous part of the symmetrized distributional derivative εu.f(x, p, ξ) satisfying weak convexity assumption.
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