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math.DG2026
Remarks on the disjoint minimal graphs conjecture
Allen Weitsman
It is known that there can be at most 3 disjoint nontrivial minimal graphs in R^3 with 0 boundary values, and conjectured that there can be at most 2. We explore properties that th…
math.DG2026
An upper bound on the growth of minimal graphs
Allen Weitsman
Graphs of solutions to the minimal surface equation over simply connected domains with boundary values 0 can have at most exponential growth.