Let be a regular, strictly convex bounded domain of , and consider a Jordan curve . Then, for each , we obtain the existence of a complete proper minimal immersion satisfying that the Hausdorff distance where represents the limit set of the minimal disk .
Cite this article
Francisco Martín, Santiago Morales, Complete proper minimal surfaces in convex bodies of <em><strong>R</strong><sup>3</sup></em>, II. The behavior of the limit set. Comment. Math. Helv. 81 (2006), no. 3, pp. 699–725DOI 10.4171/CMH/70