Second order estimates for equations with sums of Hessian operators on Hermitian manifolds
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912974476673024 |
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| author | Dong, Weisong Zhang, Ruijia |
| author_facet | Dong, Weisong Zhang, Ruijia |
| contents | In this paper, we establish an a priori second-order estimate for admissible solutions satisfying a dynamic plurisubharmonic condition to equations involving sums of Hessian operators on compact Hermitian manifolds. The estimate is derived using a concavity inequality for complex sum-of-Hessian operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19045 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Second order estimates for equations with sums of Hessian operators on Hermitian manifolds Dong, Weisong Zhang, Ruijia Analysis of PDEs Differential Geometry 35B45, 32W50 In this paper, we establish an a priori second-order estimate for admissible solutions satisfying a dynamic plurisubharmonic condition to equations involving sums of Hessian operators on compact Hermitian manifolds. The estimate is derived using a concavity inequality for complex sum-of-Hessian operators. |
| title | Second order estimates for equations with sums of Hessian operators on Hermitian manifolds |
| topic | Analysis of PDEs Differential Geometry 35B45, 32W50 |
| url | https://arxiv.org/abs/2603.19045 |