带有奇性权索博列夫空间上朝斯不等式的推广及其应用Generalizations of Troisi's Inequality in Weighted Sobolev Spaces with Singularities and Applications

讲座时间 Datetime: 

星期四, 2019/12/05 - 从 16:00 到 17:00

地点 Venue: 

海滨红楼6号1楼会议室

报告人 Speaker: 

陈化 教授

单位 Affiliation: 

武汉大学

报告摘要 Abstract: 

       我们研究了带有奇性p-权索博列夫空间上朝斯不等式的推广,这一推广可以用于研究带有锥、边角奇性的流形。进而利用这一工具，我们研究了一类相应等熵拟线性椭圆方程组解的存在性和多解性。

We study the generalizations of Troisi's inequality in weighted p-Sobolev spaces which can be used in the corresponding manifolds with cone, edge and corner singularities. Then, we use this tool to study the existence and multiplicity of solutions for a class of anisotropic quasilinear elliptic equations involving conic singularities and critical exponent.