English

The Dirichlet problem for the constant mean curvature equation in Sol_3

Differential Geometry 2019-11-13 v3

Abstract

A version of the Jenkins-Serrin theorem for the existence of CMC graphs over bounded domains with infinite boundary data in Sol3_3 is proved. Moreover, we construct examples of admissible domains where the results may be applied.

Keywords

Cite

@article{arxiv.1605.03532,
  title  = {The Dirichlet problem for the constant mean curvature equation in Sol_3},
  author = {Patricia Klaser and Ana Menezes},
  journal= {arXiv preprint arXiv:1605.03532},
  year   = {2019}
}

Comments

Final version. Accepted for publication on Illinois Journal of Mathematics