Recent progress on the Dirichlet problem for the minimal surface system and minimal cones
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Publication:5855435
zbMATH Open1465.53015arXiv1906.04558MaRDI QIDQ5855435
Author name not available (Why is that?)
Publication date: 18 March 2021
Abstract: This is a very brief report on recent developments on the Dirichlet problem for the minimal surface system and minimal cones in Euclidean spaces. We shall mainly focus on two directions: (1) Further systematic developments after Lawson-Osserman's paper cite{l-o} on the Dirichlet problem for minimal graphs of high codimensions. Aspects including non-existence, non-uniqueness and irregularity properties of solutions have been explored from different points of view. (2) Complexities and varieties of area-minimizing cones in high codimensions. We shall mention interesting history and exhibit some recent results which successfully furnished new families of minimizing cones of different types.
Full work available at URL: https://arxiv.org/abs/1906.04558
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