Piecewise minimal surfaces interpolating between two real analytic curves

Abstract

This paper is about interpolating minimal surfaces between two real analytic curves, a and b, each of which are simple real analytic curves, using the Bj\"orling-Schwarz formula in the domain where it is valid, changing the normal distributions on inital curves. We insert curves l1,...lL at specific locations and claim that there exists piecewise minimal surfaces interpolating between a to l1,l2 to l3, ...lL to $b

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