The Dirichlet problem for the $α$-singular minimal surface equation

Rafael López

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arXiv · 1809.06302

The Dirichlet problem for the $α$-singular minimal surface equation

Rafael López

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Abstract

Let $Ω\subset\r^n$ be a bounded mean convex domain. If $α<0$, we prove the existence and uniqueness of classical solutions of the Dirichlet problem in $Ω$ for the $α$-singular minimal surface equation with arbitrary continuous boundary data.

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Rafael López. 2018-09-17. The Dirichlet problem for the $α$-singular minimal surface equation. https://arxiv.org/abs/1809.06302

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