The oblique boundary value problem for degenerate Hessian quotient type equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915397072060416 |
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| author | Xiang, Ni Xiong, Yuni Zheng, Lina |
| author_facet | Xiang, Ni Xiong, Yuni Zheng, Lina |
| contents | In this paper, we investigate the oblique boundary value problem for degenerate Hessian quotient type equations in a smooth bounded domain. Without imposing any geometric restrictions on the domain, we establish the a priori estimates and derive the existence and uniqueness of admissible $C^{1,1}$ solutions under the condition $f^{\frac{1}{k-l}}\in C^{1,1}(\overlineΩ\times\mathbb{R})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22856 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The oblique boundary value problem for degenerate Hessian quotient type equations Xiang, Ni Xiong, Yuni Zheng, Lina Analysis of PDEs In this paper, we investigate the oblique boundary value problem for degenerate Hessian quotient type equations in a smooth bounded domain. Without imposing any geometric restrictions on the domain, we establish the a priori estimates and derive the existence and uniqueness of admissible $C^{1,1}$ solutions under the condition $f^{\frac{1}{k-l}}\in C^{1,1}(\overlineΩ\times\mathbb{R})$. |
| title | The oblique boundary value problem for degenerate Hessian quotient type equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.22856 |