数学学科学术报告(苏宇 博士 中南大学)

发布者:项晓玲   发布时间:2018-01-04  浏览次数:124

报告题目:Existence of infinite many solutions for critical Choquard equation with a sublinear perturtion

报 告 人:苏宇 博士(中南大学)

报告时间:20181814:30--15:30

报告地点:学院20-202

要:We consider the critical Choquard equation with a sublinear perturtion on $\Omega$, where $\Omega\subset \mathbb{R}^{N}$ is a bounded domain with $C^{0,1}$ bounded boundary, $N\geqslant3$. We point out that this problem have been considered in Gao and Yang (J. Math. Anal. Appl. 2017).Firstly, we introduce the Coulomb--Sobolev space on bounded domain, show several properties of this kind of space. With the help of endpoint refined Sobolev inequality (Bellazzini et.al. T. Am. Math. Soc. 2017) , we prove endpoint refined Sobolev inequality on bounded domain. Secondly, with the methods of Gao and Yang (J. Math. Anal. Appl. 2017) and others,we establish the existence of infinitely many negative energy solutions and one positive energy solution. This is joint work with Professor Haibo Chen.

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