Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909492363395072 |
|---|---|
| author | Ferrari, Fausto Forcillo, Nicoló Merlino, Enzo Maria |
| author_facet | Ferrari, Fausto Forcillo, Nicoló Merlino, Enzo Maria |
| contents | We prove that nonnegative almost minimizers of the horizontal Bernoulli-type functional
$$ J(u,Ω):=\int_Ω\Big(|\nabla_{\mathbb{G}} u(x)|^2+χ_{\{u>0\}}(x)\Big)\,dx$$ are Lipschitz continuous in the intrinsic sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02975 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two Ferrari, Fausto Forcillo, Nicoló Merlino, Enzo Maria Analysis of PDEs 35R35, 35R03 We prove that nonnegative almost minimizers of the horizontal Bernoulli-type functional $$ J(u,Ω):=\int_Ω\Big(|\nabla_{\mathbb{G}} u(x)|^2+χ_{\{u>0\}}(x)\Big)\,dx$$ are Lipschitz continuous in the intrinsic sense. |
| title | Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two |
| topic | Analysis of PDEs 35R35, 35R03 |
| url | https://arxiv.org/abs/2311.02975 |