Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian
In this work, we study the asymptotic behavior of the free boundary of the solution to the exterior Bernoulli problem for the half Laplacian when the Bernoulli's gradient parameter tends to $0^+$ and to $+\infty$. Moreover, we show that, under suitable conditions, the perpendicular rays of the...
Saved in:
| Main Authors | , , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
26.09.2024
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In this work, we study the asymptotic behavior of the free boundary of the
solution to the exterior Bernoulli problem for the half Laplacian when the
Bernoulli's gradient parameter tends to $0^+$ and to $+\infty$. Moreover, we
show that, under suitable conditions, the perpendicular rays of the free
boundary always meets the convex envelope of the fixed boundary. |
|---|---|
| AbstractList | In this work, we study the asymptotic behavior of the free boundary of the
solution to the exterior Bernoulli problem for the half Laplacian when the
Bernoulli's gradient parameter tends to $0^+$ and to $+\infty$. Moreover, we
show that, under suitable conditions, the perpendicular rays of the free
boundary always meets the convex envelope of the fixed boundary. |
| Author | Salani, Paolo Jarohs, Sven Kulczycki, Tadeusz |
| Author_xml | – sequence: 1 givenname: Sven surname: Jarohs fullname: Jarohs, Sven – sequence: 2 givenname: Tadeusz surname: Kulczycki fullname: Kulczycki, Tadeusz – sequence: 3 givenname: Paolo surname: Salani fullname: Salani, Paolo |
| BackLink | https://doi.org/10.48550/arXiv.2409.17810$$DView paper in arXiv |
| BookMark | eNqFjr0OgkAQhK_Qwr8HsPJeQASFiK1GY2FjYk8W3AubHHeX5SD49goxtlaTmXyTfFMxMtagEMsoDOI0ScINcEdtsI3DQxDt0yiciOLegCYPnlqUjq1D9oS1tEoqRpS5bcwTuJ-UZelLlNh5ZPqUI7KxjdbUH3ON1Q8pQSt5A6ehIDBzMVaga1x8cyZWl_PjdF0POpljqoBfWa-VDVq7_8QbMvVGDQ |
| ContentType | Journal Article |
| Copyright | http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| Copyright_xml | – notice: http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| DBID | AKZ GOX |
| DOI | 10.48550/arxiv.2409.17810 |
| DatabaseName | arXiv Mathematics arXiv.org |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| ExternalDocumentID | 2409_17810 |
| GroupedDBID | AKZ GOX |
| ID | FETCH-arxiv_primary_2409_178103 |
| IEDL.DBID | GOX |
| IngestDate | Sat Sep 28 12:20:52 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-arxiv_primary_2409_178103 |
| OpenAccessLink | https://arxiv.org/abs/2409.17810 |
| ParticipantIDs | arxiv_primary_2409_17810 |
| PublicationCentury | 2000 |
| PublicationDate | 2024-09-26 |
| PublicationDateYYYYMMDD | 2024-09-26 |
| PublicationDate_xml | – month: 09 year: 2024 text: 2024-09-26 day: 26 |
| PublicationDecade | 2020 |
| PublicationYear | 2024 |
| Score | 3.8696294 |
| SecondaryResourceType | preprint |
| Snippet | In this work, we study the asymptotic behavior of the free boundary of the
solution to the exterior Bernoulli problem for the half Laplacian when the... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - Analysis of PDEs |
| Title | Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian |
| URI | https://arxiv.org/abs/2409.17810 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV1LSwMxEB5qT15EUanvOXhd3U3X3fSoYi3i46Kwt2XywoK0JVbx5ztJ1selp5BkCEMC-WYyk28ATjVjrCBTZspok5WFcpmyps5qRblQJKWLtIsPj9XkpbxrLpoe4M9fGPJf08_ED6zezxluRmdFLcMfqjUhQsrW7VOTgpORiquT_5NjGzMO_QOJ8SZsdNYdXqbj2IKenW2DTjwVkWEbF-Hx2wcWU5w7dN5aVLGyUXBZkS1IZIsM44055c6V9bN5iNdgV_nlV-SV3hzeU8ip4hPegZPxzfP1JItqtYvEIdEGjduo8XAX-uzp2wGgrE3liJ0gomFZWcMNkRzlWovCaJfvwWDVKvurpw5gXTAShyQHUR1Cf-k_7BEj6VIdx-38Bsnqe4c |
| link.rule.ids | 228,230,783,888 |
| linkProvider | Cornell University |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Qualitative+properties+of+free+boundaries+for+the+exterior+Bernoulli+problem+for+the+half+Laplacian&rft.au=Jarohs%2C+Sven&rft.au=Kulczycki%2C+Tadeusz&rft.au=Salani%2C+Paolo&rft.date=2024-09-26&rft_id=info:doi/10.48550%2Farxiv.2409.17810&rft.externalDocID=2409_17810 |