科研之友
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摘要
In this paper, we obtain a lower semicontinuity result with respect to the strong L-1-convergence of the integral functionals @@@ F(u, Omega) = integral(Omega) f(x, u(x), Eu(x)) dx @@@ defined in the space SBD of special functions with bounded deformation. Here Eu represents the absolutely continuous part of the symmetrized distributional derivative Eu. The integrand f satisfies the standard growth assumptions of order p > 1 and some other conditions. Finally, by using this result,we discuss the existence of an constrained variational problem.
