演講公告

演講主題：P-Laplacian on complete noncompact manifolds
主講人：陳瑞堂教授 (國立台灣師範大學數學系)
演講日期：2016年6月7日(星期二) 14:00 - 15:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
Abstract.
In this talk, we consider p-Laplace operators on complete noncompact manifold M. First, we define the p-parabolic ends and p-hyperbolic ends according to the p-capacity on M, which imply the volume estimates of ends with positive p-spectrum. Next, if Ricci curvature of M has the lower bound depending on the spectrum of M, we show the Liouville properties for p-harmonic functions with finite p-energy, which also infer the topological property of this manifold, that is, M has at most one p-hyperbolic end. Finally, whenever sectional curvature of M has lower bound, we prove the gradient estimate of the positive eigenfunction associated to p-Laplace operator.
相關檔案：Talk_1050607.pdf

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