报告人简介:
孙红蕊,兰州大学数学与统计学院教授,博士生导师。1994-2004年就读于兰州大学并获得理学博士学位,2004年至今在兰州大学数学与统计学院工作。主持完成国家自然科学面上项目,青年基金,天元基金,教育部新世纪人才项目,留学回国人员基金等。主要从事非线性分析的理论和方法及其在非局部微分方程应用方面的研究工作。在《J. Differential Equations》、《Nonlinear Anal.》、《J. Math. Phy.》、《Advances Nonlinear Studies》、《Math. Biosci.》等杂志发表论文50余篇。
报告简介:
In this talk,we first study the existence of a ground state solution for a nonlinear fractional magnetic Schrodinger equation with indefinite potential. Then for a class of critical fractionalmagneticSchrodinger equations, under a global assumption on the potential and a more general hypothesis on the nonlinearity, weestablishthe existence of ground state solution and multiplicity of nonnegative solutions forit.This talk is based on joint works with Na Cui and Ya-Hong Guo.