Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918160875126784 |
|---|---|
| author | Wei, Guofang Xiao, Ling |
| author_facet | Wei, Guofang Xiao, Ling |
| contents | In this paper, we prove that the first eigenfunction of the Laplacian for a horo-convex domain $Ω\subset\mathbb H^n$ is super log-concave when $\text{diam}(Ω)$ is not large. Our result is optimal in the sense that there are counterexamples %are constructed for the cases when $Ω$ is not horo-convex or when $\text{diam}(Ω)$ is large respectively |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space Wei, Guofang Xiao, Ling Analysis of PDEs Differential Geometry 58, 35 In this paper, we prove that the first eigenfunction of the Laplacian for a horo-convex domain $Ω\subset\mathbb H^n$ is super log-concave when $\text{diam}(Ω)$ is not large. Our result is optimal in the sense that there are counterexamples %are constructed for the cases when $Ω$ is not horo-convex or when $\text{diam}(Ω)$ is large respectively |
| title | Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space |
| topic | Analysis of PDEs Differential Geometry 58, 35 |
| url | https://arxiv.org/abs/2510.13072 |