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The coerciveness and generalised Monge-Ampère equations
Abstract
In this paper, we prove the equivalence between coerciveness and the existence of a solution to the generalised Monge-Ampère equations for right-Noetherian polynomials satisfying several assumptions. This includes the case of strictly interlacing polynomials. In particular, we have generalised Chu-Lee's result to supercritical but not hypercritical LYZ equations.
Related
- Geodesics for generalised Monge-Ampère equations
- Global C2,α estimate for complex Monge--Ampère equations on compact Kähler manifolds
- Solutions to Monge-Ampère Equations with Low Codimensional singularities
- Geometric Viewpoint of L∞ Estimates for Linearized Monge-Ampère Equations
- Parabolic Monge-Ampère equations on a family of Calabi-Yau manifolds
BibTeX
@misc{chen2026coerciveness,
title = {{The coerciveness and generalised Monge-Ampère equations}},
author = {Gao Chen and Kartick Ghosh and Ziyue Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29968},
eprint = {2609.29968},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29968},
}
RIS
TY - UNPB
TI - The coerciveness and generalised Monge-Ampère equations
AU - Gao Chen
AU - Kartick Ghosh
AU - Ziyue Wang
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.29968
UR - https://arxiv.org/abs/2609.29968
AB - In this paper, we prove the equivalence between coerciveness and the existence of a solution to the generalised Monge-Ampère equations for right-Noetherian polynomials satisfying several assumptions. This includes the case of strictly interlacing polynomials. In particular, we have generalised Chu-Lee's result to supercritical but not hypercritical LYZ equations.
ER -