Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2603.13132 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910051920248832 |
|---|---|
| author | Atwood, Kathryn Garcia, Mariana Smit Vega Wang, Richard |
| author_facet | Atwood, Kathryn Garcia, Mariana Smit Vega Wang, Richard |
| contents | We continue the program initiated in \cite{SVGS}. In this paper, we focus on the infinite $d-$regular tree, and prove the monotonicity of a weighted Dirichlet energy, a Weiss-type monotonicity formula, and a generalization of the Almgren monotonicity formula of \cite{SVGS} for $p\ge 1$. We also compute examples in the infinite $2-$ and $3-$regular trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13132 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Monotonicity formulas for harmonic functions on the infinite regular tree Atwood, Kathryn Garcia, Mariana Smit Vega Wang, Richard Analysis of PDEs We continue the program initiated in \cite{SVGS}. In this paper, we focus on the infinite $d-$regular tree, and prove the monotonicity of a weighted Dirichlet energy, a Weiss-type monotonicity formula, and a generalization of the Almgren monotonicity formula of \cite{SVGS} for $p\ge 1$. We also compute examples in the infinite $2-$ and $3-$regular trees. |
| title | Monotonicity formulas for harmonic functions on the infinite regular tree |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.13132 |