论文标题
非局部奇异椭圆问题的比较结果
Comparison results for a nonlocal singular elliptic problem
论文作者
论文摘要
我们以限制域中分数奇异椭圆方程的质量浓度比较形式提供对称性结果，并与均匀的外部迪里奇条件相结合。提出了两种类型的比较结果，具体取决于方程右侧的总和。主要结果证明的核心核心中使用的最大原则论点为[18，定理31]中描述的替代方案提供了一种非标准，灵活的替代方案。 LP规律性结果和解决方案的非局部能量估计值是一些有趣的后果。
We provide symmetrization results in the form of mass concentration comparisons for fractional singular elliptic equations in bounded domains, coupled with homogeneous external Dirichlet conditions. Two types of comparison results are presented, depending on the summability of the right-hand side of the equation. The maximum principle arguments employed in the core of the proofs of the main results offer a nonstandard, flexible alternative to the ones described in [18, Theorem 31]. Some interesting consequences are Lp regularity results and nonlocal energy estimates for solutions.
