English   江苏大学官网
首页   学院概况   党建工作   师资队伍   学科建设   学生培养   科学研究   学生工作   对外交流   制度建设

此页面上的内容需要较新版本的 Adobe Flash Player。

获取 Adobe Flash Player

学院动态 >
通知公告 >
学术资讯 >
学术资讯 当前位置: 首页 > 新闻中心 > 学术资讯 > 正文
发布日期:2019-09-11  浏览:



地点: 理学院三楼会议室

题目Title: Existence and Nonexistence of Extremals for the Adams inequalities in R4.

Abstract: Much work has been done with respect to the existence of extremals of the critical Trudinger-Moser inequalities in unbounded domain. However, whether there exist extremal functions for the critical Adams inequalities in unbounded domain still remains open. The classical blow-up procedure can not apply to solving the existence because of the presence of P\'{o}lya-Szeg\"{o}\ type inequality. In this paper, we develop some new ideas based on the sharp Fourier rearrangement principle,sharp constants of the higher-order Gagliardo-Nirenberg inequalities and poly-harmonic truncations to study the existence and nonexistence of the maximizers for the Adams inequalities. Our results also provides a further insight on the existence or nonexistence of extremals for Adams inequality which has not been noticed before, even in the case of Trudinger-Moser inequality.


相关研究成果发表在Transactions of the American Mathematical Society, Journal of Functional Analysis ,Calculus of Variations and Partial Differential Equations,Revista matematica iberoamericana,

Potential Analysis等国际知名数学发表期刊论文10余篇。

江苏大学理学院 © 2010-2019 地址:江苏省镇江市学府路301号70信箱 邮编:212013 电话:0511-88780161