报告题目：Existence, uniqueness and multiplicity for fractional elliptic systems with critical nonlinearities

报告人：Patrizia Pucci

报告地点：腾讯会议 107 535 357

报告时间：2021年10月29日15：00-16：00

摘要: Elliptic systems arise in biological applications (e.g. population dynamics) or physical applications (e.g. models of a nuclear reactor) and have been drawn a lot of attention. In the nonlocal case, there are not so many papers on weakly coupled systems in RN. In this talk we present some recent existence, uniqueness and multiplicity results for positive solutions of a class of weakly coupled nonlocal systems of equations in RN, which are new also in the local case. Moreover, we also provide a global compactness result, which gives a complete description of the Palais-Smale sequences of the treated systems. To the best of our knowledge, this decomposition has been studied only for systems of equations in bounded domains. The results of the talk are based on joint works with M. Bhakta, S. Chakraborty and O.H. Miyagaki.

报告人介绍：Patrizia Pucci，教授，在意大利佩鲁贾大学分别获得硕士和博士学位。目前在意大利佩鲁贾大学数学与计算机科学学院工作。主要研究领域为偏微分方程，尤其是全局分析，流形分析，算子理论等。在国际著名期刊《Acta Math.》、《Comm. Pure Appl. Math.》、《J. Math. Pure Appl》、《Arch. Ration. Mech. Anal.》、《J. Funct. Anal.》、《Transcations Amer. Math. Soc.》、《J. Differential Equations》、《Ann. Inst. H. Poincare. Analyse Non Lineaire》等上发表论文一百五十余篇，累计被1574名学者引用高达3469次，h指数高达31。2009-2013年任佩鲁贾大学副院长。2014年获意大利Lincai国家学院颁发的 Luigi Tartufari教授奖。2016年获罗马尼亚克拉约瓦大学荣誉博士学位。2017年获Babes Bolyai大学的荣誉博士学位，并成为翁布里亚科学院成员。2018年获由Clarivate Analytics 颁发的高被引作者。2019年成为Peloritana Pericolanti 自然科学研究院数学物理类研究员。同时, Patrizia Pucci 教授还担任多个国际著名期刊的主编或编委。