Journal article
A Liouville's theorem for some Monge-Ampère type equations
Journal of functional analysis, Vol.285(4), 109973
08/15/2023
DOI: 10.1016/j.jfa.2023.109973
Abstract
We study a Monge-Ampère type equation that interpolates the classical σ2-Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4. We prove a corresponding Liouville's theorem.
Details
- Title: Subtitle
- A Liouville's theorem for some Monge-Ampère type equations
- Creators
- Hao Fang - 14 MacLean Hall, Department of Mathematics, University of Iowa, Iowa City, IA, 52242, United States of AmericaBiao Ma - Peking UniversityWei Wei - Nanjing University
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.285(4), 109973
- Publisher
- Elsevier Inc
- DOI
- 10.1016/j.jfa.2023.109973
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Grant note
- 12201288; 12271244 / National Natural Science Foundation of China (https://doi.org/10.13039/501100001809) BK20220755 / Natural Science Foundation of Jiangsu Province (https://doi.org/10.13039/501100004608) 426312 / Simons Foundation (https://doi.org/10.13039/100000893)
- Language
- English
- Date published
- 08/15/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984400759602771
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