论文标题
涉及混合本地和非局部操作员的choquard方程
Choquard equation involving mixed local and nonlocal operators
论文作者
论文摘要
在本文中，我们研究了一个椭圆形问题，该问题涉及混合顺序以及局部和非局部方面的运营商，以及在Hartree类型的关键非线性的情况下。为此，我们首先研究了相应的硬木木 - 贝贝尔不等式，并检测最佳常数。然后，使用变分方法和Pohožaev身份，我们显示了相应的亚临界扰动问题的存在和不存在的结果。
In this article, we study an elliptic problem involving an operator of mixed order with both local and nonlocal aspects and in the presence of critical nonlinearity of Hartree type. To this end, we first investigate the corresponding Hardy-Littlewood-Sobolev inequality and detect the optimal constant. Using variational methods and a Pohožaev identity we then show the existence and nonexistence results for the corresponding subcritical perturbation problem.
