Recently, Simon and Wickramasekera (J Differ Geom 75:143–173, 2007) introduced a PDE method for producing examples of stable branched minimal immersions in . This method produces two-valued functions u over the punctured unit disk in so that either u cannot be extended continuously across the origin, or G the two-valued graph of u is a C 1,α stable branched immersed minimal surface. The present work gives a more complete description of these two-valued graphs G in case a discontinuity does occur, and as a result, we produce more examples of C 1,α stable branched immersed minimal surfaces, with a certain evenness symmetry.
展开▼
