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arxiv: 1812.11553 · v7 · submitted 2018-12-30 · 🧮 math.DG · math.AP

On the non-existence of solutions of the Dirichlet problem for the minimal surface system

classification 🧮 math.DG math.AP
keywords dirichletminimalnon-existenceomegaproblemsolutionsboundarycertain
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In this paper we study the non-existence of solutions to the Dirichlet problem for minimal graphs of codimension $\geq 2$, including certain situations over domain $\Omega$ even with non-$C^1$ boundary $\partial \Omega$.

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