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arXiv · 2407.14893

Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy

Frédéric Robert
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Abstract

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.

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Frédéric Robert. 2024-07-20. Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy. https://arxiv.org/abs/2407.14893

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