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Dense solutions to the Cauchy problem for minimal surfaces
Authors:José?A.?Gálvez  author-information"  >  author-information__contact u-icon-before"  >  mailto:jagalvez@ugr.es"   title="  jagalvez@ugr.es"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Pablo?Mira
Affiliation:(1) Departamento de Geometría y Topología, Universidad de Granada, E-18071 Granada, SPAIN;(2) Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, E-30203 Cartagena, Murcia, SPAIN
Abstract:We show a general way to produce in explicit coordinates complete minimal surfaces in Ropf3 that lie densely in the whole space. This construction relies on solving the Björling problem for adequate initial data.1 Partially supported by MCYT-FEDER, Grant no. BFM2001-3318.2 Partially supported byMCYT-FEDER, Grant no. BFM2001-2871 and CARM Programa Séneca, Grant no PI-3/00854/FS/01.
Keywords:minimal surfaces  Bjö  rling problem  dense surfaces
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