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Construction of blow‐up solutions for Liouville systems

Zetao Cheng, Haoyu Li, Lei Zhang

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Source: Crossref

Published: Oct 1, 2025

DOI: 10.1112/plms.70093

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Source abstract

Abstract We study the following Liouville system defined on a flat torus where , , and is doubly periodic on . The matrix satisfies certain properties. One central problem about Liouville systems is whether multi‐bubble solutions do exist. In this work we present a comprehensive construction of multi‐bubble solutions in the most general setting.

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Construction of blow‐up solutions for Liouville systems — Mathematical Frontier Network