Stability and bifurcation for surfaces with constant mean curvature

• Koiso Miyuki

  Institute of Mathematics for Industry, Kyushu University

• Palmer Bennett

  Department of Mathematics, Idaho State University

• Piccione Paolo

  Department of Mathematics, Idaho State University

抄録

We give criteria for the existence of smooth bifurcation branches of fixed boundary CMC surfaces in ℝ³, and we discuss stability/instability issues for the surfaces in bifurcating branches. To illustrate the theory, we discuss an explicit example obtained from a bifurcating branch of fixed boundary unduloids in ℝ³.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 69 (4), 1519-1554, 2017

  一般社団法人 日本数学会

キーワード

• bifurcation
• constant mean curvature surfaces
• stability

詳細情報

• CRID: 1390001205114896512
• NII論文ID: 130006887109
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06941519
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 028590434
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028590434
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可