Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13666 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929720154652672 |
|---|---|
| author | Jin, Xiaoshang Xiao, Jie |
| author_facet | Jin, Xiaoshang Xiao, Jie |
| contents | Given $p\in [1,\infty]$, this article presents the novel basic volumetric estimates for the relative $p$-capacities with their applications to finding not only the sharp weak $(p,q)$-imbeddings but also the precise lower bounds of the principal $p$-frequencies, which principally live in the rotationally symmetric manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13666 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Essential $p$-capacity-volume estimates for rotationally symmetric manifolds Jin, Xiaoshang Xiao, Jie Differential Geometry Analysis of PDEs Functional Analysis 31B15, 49Q10, 53C21, 74G65 Given $p\in [1,\infty]$, this article presents the novel basic volumetric estimates for the relative $p$-capacities with their applications to finding not only the sharp weak $(p,q)$-imbeddings but also the precise lower bounds of the principal $p$-frequencies, which principally live in the rotationally symmetric manifolds. |
| title | Essential $p$-capacity-volume estimates for rotationally symmetric manifolds |
| topic | Differential Geometry Analysis of PDEs Functional Analysis 31B15, 49Q10, 53C21, 74G65 |
| url | https://arxiv.org/abs/2502.13666 |