On continuity of minimizers for certain quadratic growth functionals

• RAGUSA Maria Alessandra

  Dipartimento di Matematica Università di Catania

• TACHIKAWA Atsushi

  Department of Mathematics Faculty of Science and Technology Tokyo University of Science

抄録

In this paper we treat the regularity problem for minimizers u(x): Ω ⊂ \R^m → \R^n of quadratic growth functionals ∈t_Ω A(x, u, Du)dx. About the dependence on the variable x we assume only that A(•, u, p) is in the class VMO as a function of x. Namely, we do not assume the continuity of A(x, u, p) with respect to x. We will prove a partial regularity result for the case m ≤ 4.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 57 (3), 691-700, 2005

  一般社団法人 日本数学会

キーワード

• variational problem
• minimizer
• partial regularity

詳細情報

• CRID: 1390282680091915520
• NII論文ID: 10017177729
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1158241929
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2139728
• NDL書誌ID: 7367381
• Web Site: http://id.ndl.go.jp/bib/7367381
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7367381
• 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