Preprint
Sep 2026
The Solution to Agmon's Conjecture for the polylaplacian
In his 1957 paper on the Dirichlet problem for higher-order elliptic equations in the plane, Agmon conjectured that there should exist higher-order equations in dimensions greater than two for which a potential-theoretic approach based on multi-layer integral operators can be successfully implemented. We show that this...
Artur Andrade, D. Mitrea, I. Mitrea et al.
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