一类非齐次退化椭圆方程组的C^(1,α)正则性

Regularity for A Class of Degenerate Elliptic Systems with Inhomogeneity

利用非齐次项扰动法,证明了一类非齐次退化椭圆方程组弱解一阶微商是属于Cam panato空间正则性结论,并在f(x)为H¨older连续条件下得到弱解一阶微商的局部H¨older连续性理论,本文将经典Uhlenback结果和最近的Hamburger变分问题结果推广到更一般的具有非齐次项情形.

Making use of disturbation methods, we shall prove that the first derivatives of weak solutions for a class of degenerate elliptic systems belong to Campanato space. Moreover, we obtain the first derivatives of weak solutions are Hlder continuity under the assumption of f(x)∈C~α(Ω).