Doubly periodic maximal surfaces with singularities (Q1876436)

The authors consider almost entire solutions to the maximal surface equation which satisfy certain structure conditions. This approach allows one to construct a large class of periodic solutions by using generating matrices and describe analytic behaviour of such solutions with mixed-type singular points. This is an English translation of the author's article published in the book [\textit{S. K. Vodop'yanov} (ed.), Proceedings on Analysis and Geometry. International conference in honor of the 70th birthday of Professor Yu. G. Reshetnyak. Novosibirsk: Izdatel'stvo Instituta Matematiki (2000; Zbl 0992.53046)].