摘要
InthispaperlowersemicontinuityofthefunctionalI(u)=∫Ωf(x,u,↓△Hu)dxisinvestigatedforfbeingaCarathéodoryfunctiondefinedonH^n×R×R^2nandforu∈SBVH(Ω),whereH^nistheHeisenberggroupwithdimension2n+1,Ω属于H^nisanopensetand↓△HudenotestheapproximatederivativeoftheabsolutecontinuouspartD^aHuwithrespecttoDHu.Inaddition,aLusintypeapproximationtheoremforaSBVHfunctionisproved.
出版日期
2005年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)