A guide to the Choquard equation 论文
2017Cronfa (Swansea University)引用 431
Advanced Mathematical Physics ProblemsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in Engineering
详细信息
- 发表期刊/会议
- Cronfa (Swansea University)
- 发表日期
- 2017-01-01
- 发表年份
- 2017
关键词
Advanced Mathematical Physics ProblemsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in Engineering
摘要
We survey old and recent results dealing with the existence and properties of solutions to the Choquard type equations $$\begin{aligned} -\Delta u + V(x)u = \left( |x|^{-(N-\alpha )} *|u |^p\right) |u |^{p - 2} u \quad \text {in} \ \mathbb {R}^N, \end{aligned}$$ and some of its variants and extensions.