Continuity of Solutions to Complex Hessian Equations via the Dinew-Kołodziej Estimate
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913517600243712 |
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| author | Åhag, Per Czyż, Rafał |
| author_facet | Åhag, Per Czyż, Rafał |
| contents | This study extends the celebrated volume-capacity estimates of Dinew and Kolodziej, providing a foundation for examining the regularity of solutions to boundary value problems for complex Hessian equations. By integrating the techniques established by Dinew and Kolodziej and incorporating recent advances by Charabati and Zeriahi, we demonstrate the continuity of the solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16848 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuity of Solutions to Complex Hessian Equations via the Dinew-Kołodziej Estimate Åhag, Per Czyż, Rafał Complex Variables Analysis of PDEs Primary 31C45, 35B65, 35B35, Secondary 32U05, 35J60 This study extends the celebrated volume-capacity estimates of Dinew and Kolodziej, providing a foundation for examining the regularity of solutions to boundary value problems for complex Hessian equations. By integrating the techniques established by Dinew and Kolodziej and incorporating recent advances by Charabati and Zeriahi, we demonstrate the continuity of the solutions. |
| title | Continuity of Solutions to Complex Hessian Equations via the Dinew-Kołodziej Estimate |
| topic | Complex Variables Analysis of PDEs Primary 31C45, 35B65, 35B35, Secondary 32U05, 35J60 |
| url | https://arxiv.org/abs/2409.16848 |