تقرير
Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space
| العنوان: | Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space |
|---|---|
| المؤلفون: | Filho, Marcio C. Araújo, Gomes, José N. V. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Spectral Theory, Primary 47A75, Secondary 47F05, 35P15, 53C25 |
| الوصف: | In this paper, we obtain eigenvalue estimates for a larger class of elliptic differential operators in divergence form on a bounded domain in a complete Riemannian manifold isometrically immersed in Euclidean space. As an application, we give eigenvalue estimates in the Gaussian shrinking soliton, and we find a domain that makes the behavior of these estimates similar to the estimates for the case of the Laplacian. Moreover, we also give an answer to the generalized conjecture of P\'olya. Comment: Final version which has been accepted for publication in Zeitschrift f\"ur Angewandte Mathematik und Physik |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00033-023-02054-1 |
| URL الوصول: | http://arxiv.org/abs/2206.09431 |
| رقم الأكسشن: | edsarx.2206.09431 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00033-023-02054-1 |
|---|