Integral Representation of Functionals in Space of Special Functions with Bounded Deformation
Zheng Li · Journal of Nanjing University of Science and Technology · 2008
The integral representation is studied in the space of special functions of bounded deformation,of the energy ∫Ωf(x,eu(x))dx,with respect to L1-convergence.Here integrand f satisfies linear growth and coercivity conditions and other special conditions.First,by using some properties of functional,the approximate differentiability of function and the special condition of integrand,integral representation of the volume term is obtained.Secondly,by using the continuity of trace operator,etc.,integral representation of the surface term is obtained,and integral representations of functionals are obtained.