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发布时间:2021-04-25【告诉好友】 【关闭窗口】

  题目:Normalized solutions for Schrodinger equations with critical Sobolev exponent and mixed nonlinearities



  报告人:吴元泽 副教授 中国矿业大学

  摘要:In this talk, I will report our recent results, which is a joint work with professor Juncheng Wei, on normalized solutions to nonlinear Schrodinger equations with mixed nonlinearities and critical Sobolev exponent, where we prove the existence of solutions of mountain-pass type, the existence and nonexistence of ground states and precisely asymptotic behaviors of ground states and mountain-pass solutions as parameters go to their boundary.  These studies answer some open questions proposed by Soave in [J. Funct. Anal., 279 (2020), article 108610].


  吴元泽,中国矿业大学数学学院副教授。2008年本科毕业于苏州大学数学科学学院,2013年获苏州大学基础数学专业博士学位,后在清华大学和加拿大不列颠哥伦比亚大学做访问学者。主要从事非线性分析和非线性椭圆方程的研究。在 JMPACVPDEJLMS国际权威数学期刊发表学术论文篇。