数学研究所

数学科学全国重点实验室

非线性泛函分析研讨班

Speaker: 杨志鹏（云南师范大学）

Inviter: 孙黎明

Language: Chinese

Title:Nonlinear Dirac equations on noncompact quantum graphs

Time&Venue: 2025年7月17日（星期四）10:30-11:30 & 思源楼S813

Abstract: In this talk, we will first review recent advances in the analysis of noncompact quantum graphs, with a particular focus on nonlinear variational problems. We then study the nonlinear Dirac equation on such graphs under Kirchhoff-type vertex conditions. The associated action functional is strongly indefinite, and the Palais-Smale condition fails. To address these challenges, we employ recently developed critical point techniques to establish our existence results.