Remark 2.2 In many applications, the objective functional is uniform convex near the solution u, which is assumed in many studies on numerical methods of the problem, see, for example, [20, 43].
The NPR metamaterial design problem is recast as a variational problem, where the effective elastic properties of the spatially periodic microstructure are formulated as the strain energy functionals under uniform displacement boundary conditions.
Tired of cheap bodysuits, animal ears and less-than-functional policewoman uniforms?
First, to assess martial arts practitioners' satisfaction with their current uniforms, functional and aesthetic variables of the current uniforms were chosen based on the FEA model and previous literature (Dickson and Pollack 2000; Lamb and Kallal 1992).
Especially, encapsulating uniform functional nanomaterials in conductive carbon thin films can remarkably enhance the overall electrochemical performance.
Of particular concern when using hMSC as a cell therapy intervention is the ability to reliably store and deliver uniform functional cells.
By using the methods of Lyapunov functional and the uniform theory for infinite-dimensional dynamical systems, a threshold dynamics determined by the basic reproduction number (Re_{0}) is established: the measles can be eradicated if (Re_{0}<1), whereas the disease persists if (Re_{0}>1).
By using the methods of Lyapunov functional and the uniform theory for infinite-dimensional dynamical system we establish the asymptotical behaviors for the model and try to apply our results to investigate the effects of MMR1 and MMR2 on the measles control in China.
The characterization of mRNAs revealed a uniform functional pattern in healthy individuals.
