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2020年学术报告(十五)

讲座题目:Large number of bubble solutions for a fractional  elliptic equation with almost critical exponents

主办单位:大壕娱乐

报告专家:王春花(华中师范大学)

报告时间:2020年11月13日(周五)上午10:30-12:00

报告地点:腾讯会议(ID: 509 579 088)

专家简介:王春花,博士。2012年博士毕业于华中师范大学数学与统计学学院先后在德国吉森大学和加拿大英属哥伦比亚大学访问。主要研究方向:非线性椭圆型偏微分方程2009年至今,在国际期刊上发表学术论文30余篇。

摘要:In this talkwe study a nonlinear equation with a fractional Laplacian operator and almost critical exponents. Under some suitable assumptions of the potential function, we will use the finite dimensional reduction method and some local Pohozaev identities to prove that this problem has large number of bubble solutions. The concentration points of the bubble solutions include a saddle point of the potential function. We also give the concentrating rates of the bubble solutions. This is based on a joint work with S. T. Wei.