报告人：李凤英 (西南财经大学)
时间：2023年06月16日 16:00-17:00
地点：js金沙3983总站会议室80602
报告题目：A generalized mountain pass lemma with a closed subset for locally Lipschitz functionals
摘要：The classical Mountain Pass Lemma of Ambrosetti-Rabinowitz has been studied, extended and modified in several directions. Notable examples would certainly include the generalization to locally Lipschitz functionals by K. C. Chang, analyzing the structure of the critical set in the mountain pass theorem in the works of Hofer, Pucci-Serrin and Tian, and the extension by Ghoussoub-Preiss to closed subsets in a Banach space with recent variations. In this paper, we utilize the generalized gradient of Clarke and Ekeland’s variatonal principle to generalize the Ghoussoub-Preiss’s Theorem in the setting of locally Lipschitz functionals. We give an application to periodic solutions of Hamiltonian systems.
报告人简介：西南财经大学副教授，博士毕业于四川大学数学学院，也是四川大学与Vanderbilt University 的联合培养博士。主持完成国家自然科学基金青年基金一项，合作参与多项国家自然科学基金面上项目，并荣获西南财经大学2020年度“十佳”女教职工称号。主要从事非线性泛函分析、多体问题周期解以及Hamilton系统周期解等方向的研究，现已在Journal of Fixed Point Theory and Applications、Chin. Ann. Math. Ser. B、Math Meth Appl Sci.、Proceedings of the American Mathematical Society、中国科学等知名学术期刊发表论文多篇。
