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学术讲座【Existence of solutions to a class of quasilinear elliptic equations】

时间:2016-06-16浏览:578设置

时间:2016年6月17日(周五)10:20 -12:00

地点:旗山校区理工北楼601报告厅

主办:数学与计算机科学学院、福建省分析数学及应用重点实验室、数学研究中心

主讲:首都师范大学  刘兆理教授 

专家简介:刘兆理,男,首都师范大学教授、博士生导师,从事非线性泛函分析及其应用方面的研究,在CMP等国际著名刊物发表论文50多篇,获国家杰出青年基金,被聘任为教育部长江学者。

报告摘要:In this talk, we consider existence of multiple solutions to a class of quasilinear elliptic equations. Sign properties of the solutions are also studied. Such equations has a variational structure, but the associated functional is only formally defined. It is not well defined if we try to define it on large spaces, while it does not have compactness if we try to define it on small spaces. These difficulties prevent us from applying directly critical point theory. We shall recall methods developed in the literature in dealing with such equations. We shall also present some recent results obtained by Yongtao Jing, Zhi-Qiang Wang and myself.

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