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.

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