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<p>We prove a Pucci–Serrin conjecture on critical dimensions under a uniform bound on the energy. The method is based on the analysis of the Green’s function of polyharmonic operators with "almost" Hardy potential.</p>

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Critical dimensions for polyharmonic operators: the Pucci–Serrin conjecture for solutions of bounded energy

  • 期刊论文

  • 发表日期：

    2025年3月7日

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  • Frédéric Robert

摘要

We prove a Pucci–Serrin conjecture on critical dimensions under a uniform bound on the energy. The method is based on the analysis of the Green’s function of polyharmonic operators with "almost" Hardy potential.