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arXiv · 1412.7275

A Liouville theorem for subcritical Lane-Emden system

Ze Cheng·Genggeng Huang·Congming Li
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Abstract

In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-Emden system. To approach the long standing and interesting conjecture, we believe that one plausible path is to refocus on establishing this energy type estimate.

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Ze Cheng, Genggeng Huang, Congming Li. 2014-12-23. A Liouville theorem for subcritical Lane-Emden system. https://arxiv.org/abs/1412.7275

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