学术报告
标题:The mountain pass theorem in terms of tangencies
报告时间:2024年05月10日(星期五)14:30-15:30
报告地点:惟真楼309
主讲人:Tien-Son Pham(越南大叻大学,教授)
主办单位:前沿交叉研究院
报告内容简介:
This paper addresses the Mountain Pass Theorem for locally Lipschitz functions on finite-dimensional vector spaces in terms of tangencies. Namely, let be a locally Lipschitz function with a mountain pass geometry. Let
where A is the set of all continuous paths joining two points in Rn . We show that either c is a critical value of f or c is a tangency value at infinity of .This reduces to the Mountain Pass Theorem of Ambrosetti and Rabinowitz in the case where the function
is definable (e.g., semi-algebraic) in an o-minimal structure.