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A Harnack-Type Inequality for a Prescribing Curvature equation on a Domain with Boundary

Analysis of PDEs 2013-09-05 v1

Abstract

In this paper we consider a class of prescribing curvature type equations on half Euclidean balls. Under suitable assumptions on the scalar curvature function and boundary mean curvature function we prove a min-max type inequality and the corresponding energy estimates.

Keywords

Cite

@article{arxiv.1309.1135,
  title  = {A Harnack-Type Inequality for a Prescribing Curvature equation on a Domain with Boundary},
  author = {Mathew Gluck and Ying Guo and Lei Zhang},
  journal= {arXiv preprint arXiv:1309.1135},
  year   = {2013}
}

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31 pages