一、报告题目

Weak limit of homeomorphisms in W^{1,n-1}: invertibility and lower semicontinuity of energy

二、主讲人

Stanislav Hencl

三、报告时间

2022年01月05日16：00 -17:30

四、报告地点

Zooms会议

五、摘要

Let n>2, let fm be a sequence of homeomorphisms, between n-dimensional Euclidean domains, that satisfy the Lusin (N) condition with prescribed Dirichlet boundary condition. Let f be a weak limit of fm in the critical Sobolev space. We show that f satisfies the INV condition of Conti and De Lellis and therefore it satisfies the Lusin (N) condition and the associated polyconvex energy functional is lower semicontinuous. This is a joint work with A. Dolezalova, J. Maly and A. Molchanova.

六、主讲人简介

Stanislav Hencl,捷克查理大学(布拉格)数学系教授，师从著名数学家Jan Maly。Hencl教授主要研究方向为单复变几何函数论，在Sobolev不等式、Sobolev映照和Mappings of finite distortion理论作出了重要贡献。其研究多次获得捷克科学院基金资助，在J. Euro. Math. Soc., J. Reine Angew. Math.., J. Math. Pures Appl., Adv. Math., Math. Ann., Arch. Ration. Mech. Anal., J. Funct. Anal., Cal. Var. PDEs, Ann. Inst. H. Poincaré C Anal. Non Linéaire等国际权威高水平期刊发表论文60余篇。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心