تقرير
Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem
| العنوان: | Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem |
|---|---|
| المؤلفون: | Du, Feng, Mao, Jing, Wang, Qiao-Ling, Xia, Chang-Yu |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 35P15, 53C40, 58C40 |
| الوصف: | In this paper, we prove some isoperimetric bounds for lower order eigenvalues of the Wentzell-Laplace operator on bounded domains of a Euclidean space or a Hadamard manifold, of the Laplacian on closed hypersurfaces of a Euclidean space or a Hadamard manifold, and of a biharmonic Steklov problem on bounded domains of a Euclidean space. Especially, interesting rigidity results can be obtained if sharp bounds were achieved. Comment: 18 pages. We have made revisions to v1 based on some useful suggestions from colleagues. Comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1808.10578 |
| رقم الأكسشن: | edsarx.1808.10578 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |