N. S. Nadirashvili, “An application of potential analysis to minimal surfaces”, Mosc. Math. J., 2001, Volume 1, Number 4,Pages <nobr>601

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An application of potential analysis to minimal surfaces

N. S. Nadirashvili

University of Chicago

Abstract: We study complete proper minimal immersions in a bounded domain in Euclidean space. We show that for certain domains there are no such immersions. The existence of such unproper immersions is known.

Key words and phrases: Minimal surface, Liouville theorem, proper minimal immersion.

MSC: 31, 58

Language: English

DOI: 10.17323/1609-4514-2001-1-4-601-604