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<p>In this short note, we extend the conservation law of Lamm–Rivière [Comm. PDEs 2008] for a fourth order elliptic system to supercritical dimensions, under certain Lorentz–Sobolev integrability assumptions on the associated coefficient functions.</p>

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Conservation Law for a Fourth Order Elliptic System in Supercritical Dimensions

  • 期刊论文

  • 发表日期：

    2026年7月5日

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  • Wenjuan Qi,
  • Zhaomin Sun

摘要

In this short note, we extend the conservation law of Lamm–Rivière [Comm. PDEs 2008] for a fourth order elliptic system to supercritical dimensions, under certain Lorentz–Sobolev integrability assumptions on the associated coefficient functions.