京都駅前セミナー

〜非線形現象の数理を考える〜

· トップページへ戻る

◎第６６回

日時： 平成２７年　１１月６日（金）　１４時００分〜１７時３０分
場所：キャンパスプラザ京都　６階第７講習室

講演１	Jann-Long Chern　（National Central University, Taiwan）
時間	１４：００〜１５：３０
題目	(1) On the Elliptic Equations of Hardy-Sobolev Type with Multiple Boundary Singularities (2)On the Multivortex Solutions of Maxwell-Chern-Simons Model
概要	(1)In this talk, we are interested in how the geometry of boundary singularities can affect the attainability of the respective best Caffarelli-Kohn-Nirenberg and Hardy-Sobolev constant. (2)Regarding the self-dual equations of the Maxwell-Chern-Simons model, we study several aspects of different types of solutions of a general elliptic system on R2. We establishes the following: (a)Uniqueness of radially symmetric topological solutions. (b) Structure of all radially symmetric solutions. (c)An energy result that classifies non-topological solutions with a single vortex. (d)Uniqueness for multi-vortex, topological solutions for a range of parameters.

講演２	Bae Soohyun　（Hanbat National University, Korea）
時間	１６：００〜１７：３０
題目	Asymptotic self-similarity of positive radial solutions for　quasilinear equations of Lane-Emden type
概要	Asymptotic self-similarity is a basic tool to study positive entire solutions in Lane-Emden equations. In this talk, we explain the asymptotic self-similarity for quasilinear equations of Lane-Emden type. One of related papers is "A generalized Pohozaev identity and its applications" by Kawano, Ni and Yotsutani in 1990.