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We make systematic developments on Lawson-Osserman constructions relating tothe Dirichlet problem (over unit disks) for minimal surfaces of highcodimension in their 1977 Acta paper. In particular, we show the existence ofboundary functions for which infinitely many analytic solutions and at leastone nonsmooth Lipschitz solution exist simultaneously. This newly-discoveredamusing phenomenon enriches the understanding on the Lawson-Ossermanphilosophy.

Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system