泛函I(u;Ω)=∫_Ωf(x,δu,D^mu)dx极小点的部分正则性

The Partial Regularity of Minima of FunctionalI(u;Ω)=∫Ωf(x,δu,D^mu) dx

我们借助于建立的高阶齐次线性和拟线性椭圆型方程组的正则性理论,证明了不可微泛函I(u;Ω)=∫_Ωf(x,δu,D^mu)dx极小点的部分正则性.

we prove the partial regularity of minima of non-differentiable integrals I(u;Ω)=integral from n=Ω f(x,δu,D^mu)dx by means of establishing the theory of regularity of linear and quasilinear elliptic systems of higher order.