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タイトル: Area-constrained Willmore surfaces of small area in Riemannian three-manifolds: an approach via Lyapunov-Schmidt reduction (Regularity and Singularity for Partial Differential Equations with Conservation Laws)
著者: Ikoma, Norihisa
Malchiodi, Andrea
Mondino, Andrea
著者名の別形: イコマ, ノリヒサ
キーワード: 49Q10
53C21
53C42
35J60
58E05
Willmore functional
Hawking mass
non linear PDE
fourth order PDE
発行日: May-2017
出版者: Research Institute for Mathematical Sciences, Kyoto University
誌名: 数理解析研究所講究録別冊
巻: B63
開始ページ: 31
終了ページ: 50
抄録: The goal of the present note is to survey and announce recent results by the authors about existence of embedded Willmore surfaces with small area constraint in Riemannian threemanifolds. The common feature about the results presented here is that the constructions rely on suitable Lyapunov-Schmidt reductions.
記述: "Regularity and Singularity for Partial Differential Equations with Conservation Laws". June 3~5, 2015. edited by Keiichi Kato, Mishio Kawashita, Masashi Misawa and Takayoshi Ogawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
著作権等: © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
URI: http://hdl.handle.net/2433/243648
出現コレクション:B63 Regularity and Singularity for Partial Differential Equations with Conservation Laws

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