2025/04/17 by Simon Donaldson, Donaldson, Simon · 1 citation
Mathematics · #Nonlinear Partial Differential Equations #Analytic and geometric function theory #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2504.12716
In this paper twistor methods are used to construct a family of multivalued harmonic functions on \bf R3 which were obtained by Dashen Yan using different methods. The branching sets for the solutions are ellipses and the functions have quadratic growth at infinity.