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数学与统计及交叉学科前沿论坛------高端学术讲座第66场

报告题目:A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth

报告人: 张建军 重庆交通大学

报告时间:1020日周四下午16:00-17:00

报告地点:腾讯会议 323-481-801

报告简介:

In this talk, we are concerned with a class of singularly perturbed elliptic problems in an annulus with supercritical growth. By virtue of a reduction argument, we show that there exists a nodal solution with exactly two positive and two negative peaks, which concentrates on two different orthogonal spheres. In particular, we establish different concentration phenomena of four peaks depending on the parameter. This talk is based on a joint work with Zhisu Liu and Juncheng Wei.


报告人简介:

重庆交通大学开云·体育(中国)官方网站教授,重庆市数学会副理事长。2001年本科毕业于中国矿业大学数学系,2012年于清华大学数学科学系获博士学位,2018年获得意大利副教授国家资格认证,2020年入选重庆市高校中青年骨干教师,主持国家自然科学基金面上项目、国际(地区)合作交流项目和意大利伦巴第研究员基金(Global ERC)各1项。在非线性薛定谔方程的半经典状态和规范化解的研究等方面取得了一些重要结果,并发表Communications in Partial Differential EquationsJournal of Differential Equations, Calculus of Variations and Partial Differential Equations, Nonlinearity, Proceedings of the Royal Society of Edinburgh, Section A MathematicsJournal of the London Mathematical Society等国际主流学术刊物上。