关于举行Luca Vilasi 教授（意大利University of Messina）学术报告会的通知

报告主题:  Existence and regularity of solutions for a local-nonlocal Keller-Segel type problem

报  告  人:  Luca Vilasi（意大利University of Messina）

报告时间:  2024年6月11日（星期二）下午16:00-17:00

报告地点:  37号楼 3A02报告厅

邀  请  人:  王友军副教授

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数学学院

2024年6月4日

报告摘要：

  We address a semilinear elliptic problem driven by the spectral fractional Laplacian operator on a bounded domain under Neumann boundary conditions. Such a problem arises for instance in Biology when looking for steady states of Keller-Segel’s system; in our case, the diffusion is assumed to be local for the population and non-local for the chemical. By variational arguments we show the existence of non-constant solutions - local mimima of the associated energy - as well as their regularity and other qualitative properties.