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Existence for some
degenerate Hessian-type equations arising in conformal
geometry
Yan He, Qiang Tu and Ni Xiang |
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Vol. 335 (2025), No. 1, 97–117
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DOI: 10.2140/pjm.2025.335.97
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Abstract |
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We establish the a priori estimates for three kinds of degenerate Hessian-type equations arising in conformal geometry. Based on these a priori estimates, we obtain an existence result using the continuity method. |
Keywords
conformal geometry, degenerate Hessian-type equations, a
priori estimates
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Mathematical Subject Classification
Primary: 53C21
Secondary: 35B45
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Milestones
Received: 18 March 2023
Revised: 5 February 2025
Accepted: 20 March 2025
Published: 8 April 2025
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Authors |
| Yan He | |
| Faculty of Mathematics and
Statistics Hubei University Wuhan China |
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| Qiang Tu | |
| Faculty of Mathematics and
Statistics Hubei University Wuhan China |
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| Ni Xiang | |
| Faculty of Mathematics and
Statistics Hubei University Wuhan China |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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