Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains
We prove local pointwise second derivative estimates for positive W2,p solutions to the σk-Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.
| मुख्य लेखकों: | , |
|---|---|
| स्वरूप: | Journal article |
| भाषा: | English |
| प्रकाशित: |
Springer Nature
2021
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| _version_ | 1826313291631165440 |
|---|---|
| author | Duncan, JAJ Nguyen, LUC |
| author_facet | Duncan, JAJ Nguyen, LUC |
| author_sort | Duncan, JAJ |
| collection | OXFORD |
| description | We prove local pointwise second derivative estimates for positive W2,p solutions
to the σk-Yamabe equation on Euclidean domains, addressing both the positive and
negative cases. Generalisations for augmented Hessian equations are also considered. |
| first_indexed | 2024-03-07T08:03:48Z |
| format | Journal article |
| id | oxford-uuid:8cc4531f-fbb8-4f78-9d24-d6ec73cb9e95 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:10:45Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:8cc4531f-fbb8-4f78-9d24-d6ec73cb9e952024-06-19T12:18:49ZLocal pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domainsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8cc4531f-fbb8-4f78-9d24-d6ec73cb9e95EnglishSymplectic ElementsSpringer Nature2021Duncan, JAJNguyen, LUCWe prove local pointwise second derivative estimates for positive W2,p solutions to the σk-Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered. |
| spellingShingle | Duncan, JAJ Nguyen, LUC Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains |
| title | Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains |
| title_full | Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains |
| title_fullStr | Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains |
| title_full_unstemmed | Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains |
| title_short | Local pointwise second derivative estimates for strong solutions to the σk-Yamabe equation on Euclidean domains |
| title_sort | local pointwise second derivative estimates for strong solutions to the σk yamabe equation on euclidean domains |
| work_keys_str_mv | AT duncanjaj localpointwisesecondderivativeestimatesforstrongsolutionstotheskyamabeequationoneuclideandomains AT nguyenluc localpointwisesecondderivativeestimatesforstrongsolutionstotheskyamabeequationoneuclideandomains |