本文印刷
全画面プリント
応用解析セミナー
過去の記録 ～12/28｜次回の予定｜今後の予定 12/29～
| 開催情報 | 木曜日 16:00～17:30 数理科学研究科棟(駒場) 号室 |
|---|---|
| 担当者 | 石毛 和弘，宮本 安人，三竹 大寿，高田 了 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/applana/index.html |
2025年06月26日(木)
16:00-17:30 数理科学研究科棟(駒場) 128号室
Yang Yang 氏 (Johns Hopkins University)
A half-space Bernstein theorem for anisotropic minimal graphs (English)
Yang Yang 氏 (Johns Hopkins University)
A half-space Bernstein theorem for anisotropic minimal graphs (English)
[ 講演概要 ]
Anisotropic functionals are the natural generalization of the area functional. From a technical perspective, what distinguishes general anisotropic functionals from the area case is the absence of a monotonicity formula. In this talk, we will present a proof of a half-space Bernstein theorem for anisotropic minimal graphs with flat boundary condition. The proof uses only the maximal principle and ideas from fully nonlinear PDE theory in lieu of a monotonicity formula. This is joint work with W. Du, C. Moony, and J. Zhu.
Anisotropic functionals are the natural generalization of the area functional. From a technical perspective, what distinguishes general anisotropic functionals from the area case is the absence of a monotonicity formula. In this talk, we will present a proof of a half-space Bernstein theorem for anisotropic minimal graphs with flat boundary condition. The proof uses only the maximal principle and ideas from fully nonlinear PDE theory in lieu of a monotonicity formula. This is joint work with W. Du, C. Moony, and J. Zhu.
