Existence for some degenerate Hessian-type equations arising in conformal geometry

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.

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Publication Details

Journal
Pacific Journal of Mathematics
Published
2025-04-08
DOI
https://doi.org/10.2140/pjm.2025.335.97
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Existence for some degenerate Hessian-type equations arising in conformal geometry

Qiang Tu, Xiang Ni, Yan He
Pacific Journal of Mathematics
Nonlinear Partial Differential Equations
article

Existence for some degenerate Hessian-type equations arising in conformal geometry

Qiang Tu, Xiang Ni, Yan He
article en

Abstract

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.

Pacific Journal of MathematicsVol. 335(1)
Hubei University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 90%
Nonlinear Partial Differential Equations
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