On some conjectures and open problems of Schrodinger equations in RN

摘要：In this talk, I will report our recent results, which are based on the joint works with Professor Juncheng Wei, on some conjectures and open problems of Schrodinger equations in RN. By introducting new ideas and deriving sharp pointwise estimates, we give almost complete answers to these conjectures and open problems.

个人简介： 吴元泽，博士、中国矿业大学优秀青年骨干教师、副教授、博士生导师。主要研究领域为非线性分析和非线性椭圆型偏微分方程（组）。现主持国家自然科学基金面上项目一项，主持完成国家自然科学基金青年基金、数学天元基金各1项，参与国家自然科学基金面上项目等各类项目5项。发表学术论文近30篇，其中部分成果发表于"Math. Ann."，"J. Math. Pures Appl."，"Calc. Var. PDEs"，"J. London Math. Soc."，"Ann. Mat. Pura Appl."等学术刊物上。