现代分析及其应用数学研究所学术报告(Pedro Fellype,浙江师范大学)
来源:系统管理员 发布时间:2024-03-15
报告题目:A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities
报告人:Pedro Fellype,浙江师范大学
报告时间:2024年3月18日(周一)14:00-15:00
报告地点:20-306
报告摘要:In this talk we consider a class of degenerate quasilinear elliptic equations with discontinuous nonlinearities. The existence of positive weak solutions and S-solutions is discussed using variational methods. The results assert that the $(\lambda,a)$-space of the parameters involved is divided into three regions - no solution, at least one S-solution, and at least two weak solutions (one is S-solution among them), in each region respectively. The regions are separated by a continuous, nondecreasing curve and line segment. Further, there exists an S-solution at each point on the separating curve.
邀请人:非线性分析与PDE团队