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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