论文标题
混合奇异非线性和非规范数据的分数拉普拉斯问题
A fractional Laplacian problem with mixed singular nonlinearities and nonregular data
论文作者
论文摘要
在本说明中，我们研究了针对非规范数据的双重奇异分数问题的积极解决方案的存在和独特性。此外，在某些情况下，我们将显示解决方案的另一个概念，即所谓的熵解决方案的存在和独特性。同样，有了适当的数据假设，我们将讨论独特性。最后，我们将对证明存在结果的假设有一些放松。
In this note, we study the existence and uniqueness of a positive solution to a doubly singular fractional problem with nonregular data. Besides, for some cases, we will show the existence and uniqueness of another notion of a solution, so-called entropy solution. Also, with suitable assumptions on data, we will discuss the uniqueness. Finally, we will have some relaxation on the assumption to prove the existence results.
