论文标题
一般类别椭圆形问题的一般类别的存在和规律性,涉及强大的潜力
Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential
论文作者
论文摘要
在一个非常普遍的准线性环境中,我们表明一阶术语的正则效应导致存在能量解决方案,即涉及强大潜力和$ l^1 $数据的问题。在同一环境中,我们研究了解决方案第二个衍生物的尖锐(本地和全球)积分估计。
In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potential and $L^1$ data. In the same setting we study sharp (local and global) integral estimates for the second derivatives of the solutions.