تقرير
A definitive majorization result for nonlinear operators
| العنوان: | A definitive majorization result for nonlinear operators |
|---|---|
| المؤلفون: | Harvey, F. Reese, Lawson Jr, H. Blaine |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Differential Geometry, 35A23, 35G20, 32Q25, 32W20, 53C55, 58J32, 35B45, 35B65 |
| الوصف: | Let ${\mathfrak g}$ be a Garding-Dirichlet operator on the set S(n) of symmetric $n\times n$ matrices. We assume that ${\mathfrak g}$ is $I$-central, that is, $D_I {\mathfrak g} = k I$ for some $k>0$. Then $$ {\mathfrak g}(A)^{1\over N} \ \geq\ {\mathfrak g}(I)^{1\over N} (\det\, A)^{1\over n} \qquad \forall\, A>0. $$ From work of Guo, Phong, Tong, Abja, Dinew, Olive and many others, this inequality has important applications. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.05408 |
| رقم الأكسشن: | edsarx.2407.05408 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |