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2018年信息与数学学院学术报告(五)

 

讲座题目:Construction of solutions via local Pohozaev identities(应用局部Pohozaev恒等式构造解)

主办单位:信息与数学学院

报告专家:王春花(华中师范大学,副教授)

报告时间:2018323日(周五)下午(14:1015: 00

报告地点: 东校区8406

 

专家简介:王春花,华中师范大学副教授。2012年博士毕业于华中师范大学。曾访问过德国吉森大学的Thomas Bartsch教授和加拿大英属哥伦比亚大学的魏军城教授。主要研究方向:非线性椭圆型偏微分方程、非线性泛函分析。2009年至今,与人合作在国际期刊上发表学术论文20余篇。

 

摘要:We study a class of critical nonlinear elliptic equations. By combining a finite reduction argument and local Pohozaev type identities, we prove that some function for potential has a stable critical point. Then it follows that the problem has infinitely many solutions. To overcome the difficulties appearing in this problem, we applied the standard reduction method to locate the concentrating points of the solutions. This is based on a joint work with professors Shuangjie Peng and Shusen Yan.