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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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