中科院数学与系统科学研究院
数学研究所
非线性分析研讨班
报告人: 郭宗明 教授(河南师范大学)
题 目:Some weighted elliptic equations
时 间:2018.09.11(星期二),10:30-11:30
地 点:数学院南楼N913室
摘 要:Existence and regularity of solutions of some weighted fourth order elliptic equations are studied via new embeddings of weighted Sobolev spaces. Some existence problems are still open because of the lack of such embeddings. We will see that, in some special cases, the solutions can be constructed and the existence of solutions of the related problems can also be obtained. Meanwhile, weak solutions with prescribed singular set are constructed.