报告题目:CompleteStructure of the Fucik Spectrum of the p-Laplacian with IntegrablePotentials
报告人:储继峰
时间:2017年04月28日 上午10:00
地点:汇贤楼118教室
主办单位:best365体育官网登录入口
报告摘要:
We study thep-Laplacian with integrable potentials on an interval under Dirichlet orNeumann boundary conditions. Based on the strong continuity and continuousdifferentiability of solutions in potentials, we give a comprehensivecharacterization of the corresponding Fucik spectra: each of them is composedof two trivial lines and a double-sequence of differentiable, strictlydecreasing, hyperbolic-like curves; all asymptotic lines of these spectralcurves are precisely described by using eigenvalues of the p-Laplacian withpotentials; and moreover, all these spectral curves have strong continuity inpotentials, i.e., as potentials vary in the weak topology, these spectralcurves are continuously dependent on potentials in a certain sense.
个人简介:
储继峰 ,上海师范大学教授、博士生导师。曾入选教育部“新世纪优秀人才支持计划”、德国“洪堡学者”,并获教育部“霍英东高校青年教师奖”等。从事微分方程和动力系统的研究工作,发表学术论文50余篇,主持国家自然科学基金等省部级科研项目6项。