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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.00895 |
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| _version_ | 1866929738666213376 |
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| author | Gao, Zhenghuan Shi, Shujun Zhang, Yuzhou |
| author_facet | Gao, Zhenghuan Shi, Shujun Zhang, Yuzhou |
| contents | In this paper, we discuss the solvability of a p-k-Hessian entire inequality. We prove that the inequality with sub-lower-critical exponent admits no negative solutions. Moreover, the exponent is sharp. The proof is based on choosing suitable test functions and integrating by parts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00895 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the solvability for a p-k-Hessian inequality Gao, Zhenghuan Shi, Shujun Zhang, Yuzhou Analysis of PDEs 35B08, 35J60 In this paper, we discuss the solvability of a p-k-Hessian entire inequality. We prove that the inequality with sub-lower-critical exponent admits no negative solutions. Moreover, the exponent is sharp. The proof is based on choosing suitable test functions and integrating by parts. |
| title | On the solvability for a p-k-Hessian inequality |
| topic | Analysis of PDEs 35B08, 35J60 |
| url | https://arxiv.org/abs/2503.00895 |