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The union problem for domains with partial pseudoconvex boundaries

Jinjin Hu, Xujun Zhang

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Source: Crossref

Published: Jul 22, 2026

DOI: 10.1142/s0129167x26500618

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Source abstract

In this paper, we show that a smooth bounded domain in [Formula: see text] admitting partial pseudoconvex exhaustion remains partial pseudoconvex. The main ingredient of the proof is based on a new characterization of hyper-q-convex domains. Furthermore, we get several convex analogies in [Formula: see text].

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