论文标题
弱解的连续性模量，一类奇异椭圆方程
Modulus of continuity of weak solutions to a class of singular elliptic equations
论文作者
论文摘要
在本文中，我们研究了弱溶液对平面中奇异椭圆方程的连续性模量，这是在非常弱的椭圆系数的集成性的非常弱的假设下。我们的调查表明，连续性模量可以通过提高到功率的对数函数的倒数来描述。但是，功率可能很大。这与J. Onninen和X. Zhong的结果形成鲜明对比，在平面上具有否定的椭圆方程，在该方程中，该功率必须很小。
In this paper we study the modulus of continuity of weak solutions to a singular elliptic equation in the plane under very weak assumption on the integrability of the elliptic coefficients. Our investigation reveals that the modulus of continuity can be described by the reciprocal of the logarithmic function raised to a power. However, the power can be arbitrarily large. This is in sharp contrast with a result by J. Onninen and X. Zhong for a degenerate elliptic equation in the plane, in which the power must be suitably small.
