タイトル | Generalized solution of the double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces |
著者(日) | 二村, 俊英; 下村, 哲 |
著者(英) | Futamura, Toshihide; Shimomura, Tetsu |
著者所属(日) | 大同大学; 広島大学 |
著者所属(英) | Daido University; Hiroshima University |
発行日 | 2023-11 |
発行機関など | Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University 広島大学大学院先進理工系科学研究科数学プログラム |
刊行物名 | Hiroshima mathematical journal |
巻 | 53 |
号 | 3 |
開始ページ | 359 |
終了ページ | 372 |
刊行年月日 | 2023-11 |
言語 | eng |
抄録 | In this paper, we are concerned with the existence and uniqueness of a generalized solution to a double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces supporting a Φ-Poincare inequality, as an extension of Farnana (Nonlinear Anal. 73 (2010), pp. 2819Φ2830). |
キーワード | metric measure space; Newtonian space; Musielak-Orlicz space; Poincare inequality; Dirichlet energy integral; double obstacle problem |
資料種別 | Journal Article |
NASA分類 | Theoretical Mathematics |
ISSN | 0018-2079 |
NCID | AA00664323 |
SHI-NO | AA2340418007 |
URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/1256457 |