English

The Dirichlet problem for the $\alpha$-singular minimal surface equation

Differential Geometry 2018-09-18 v1

Abstract

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

Keywords

Cite

@article{arxiv.1809.06302,
  title  = {The Dirichlet problem for the $\alpha$-singular minimal surface equation},
  author = {Rafael López},
  journal= {arXiv preprint arXiv:1809.06302},
  year   = {2018}
}

Comments

12 pages. Accepted to be published in Archiv der Mathematik

R2 v1 2026-06-23T04:08:58.657Z