Characterization of positive superharmonic functions in a half-space
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909634772598784 |
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| author | D'Ambrosio, Lorenzo Mitidieri, Enzo |
| author_facet | D'Ambrosio, Lorenzo Mitidieri, Enzo |
| contents | We prove a representation formula for superharmonic functions on the half-space $\mathbb{R}^N_+ := \mathbb{R}^{N-1}\times]0,+\infty[$. As a consequence, we derive some comparison principles and various positivity results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of positive superharmonic functions in a half-space D'Ambrosio, Lorenzo Mitidieri, Enzo Analysis of PDEs We prove a representation formula for superharmonic functions on the half-space $\mathbb{R}^N_+ := \mathbb{R}^{N-1}\times]0,+\infty[$. As a consequence, we derive some comparison principles and various positivity results. |
| title | Characterization of positive superharmonic functions in a half-space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.02305 |