Abstract
Let \(\Omega \subset \mathbb {R}^n\) be a bounded mean convex domain. If \(\alpha <0\), we prove the existence and uniqueness of classical solutions of the Dirichlet problem in \(\Omega \) for the \(\alpha \)-singular minimal surface equation with arbitrary continuous boundary data.
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Partially supported by the Grant No. MTM2017-89677-P, MINECO/AEI/FEDER, UE.
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López, R. The Dirichlet problem for the \(\alpha \)-singular minimal surface equation. Arch. Math. 112, 213–222 (2019). https://doi.org/10.1007/s00013-018-1255-0
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DOI: https://doi.org/10.1007/s00013-018-1255-0