带测度椭圆形方程组的弱解部分正则性准则(Ⅰ):HOLDER连续性  

THE CRITERIA OF PAPTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH SOME MEASURES (I): HOLDER CONTINUITY

作　　者：刘宪高[1] 彭乐群 

机构地区：[1]湖南大学 [2]常德师专

出　　处：《长沙水电师院自然科学学报》1993年第3期225-230,共6页

摘　　要：文中讨论 弱解的部分正则性。其中μ_i为Radon测度,Ω对为有界区域。我们给出了上述问题的弱解具有部分Holder连续时,测度μ_i应满足的充分和必要条件。In this paper we consider the partial regularity of the following problem -D_α(A_(ij)^(αβ)(x,u)D_βu^j)=μ_i i=1, 2, …, N u∈H_(loc)~1(Ω;R^N)where μ_i are some Radon measures. In addition, we give the sufficient and necessary condi-tions in which the weak solutions u of the above problem belong to c^(σ,δ)(Ω_0, R^N), Ω_0(?)Ω andmeas (Ω-Ω_0)=0.

关 键 词：测度 椭园型方程组 正则性 

分 类 号：O175.4[理学—数学]