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arXiv · 2609.29968

The coerciveness and generalised Monge-Ampère equations

Gao Chen·Kartick Ghosh·Ziyue Wang
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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.

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Gao Chen, Kartick Ghosh, Ziyue Wang. 2026-09-24. The coerciveness and generalised Monge-Ampère equations. https://arxiv.org/abs/2609.29968

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