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

2024/07/20 by Frédéric Robert, Robert, Frédéric · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2407.14893

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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