English

An Estimate of the First Eigenvalue of a Schr\"odinger Operator on Closed Surfaces

Differential Geometry 2018-05-21 v1 Analysis of PDEs

Abstract

Based on the work of Schoen-Yau, we derive an estimate of the first eigenvalue of a Schr\"odinger Operator (the Jaocbi operator of minimal surfaces in flat 3-spaces) on surfaces.

Keywords

Cite

@article{arxiv.1704.05418,
  title  = {An Estimate of the First Eigenvalue of a Schr\"odinger Operator on Closed Surfaces},
  author = {Teng Fei and Zhijie Huang},
  journal= {arXiv preprint arXiv:1704.05418},
  year   = {2018}
}

Comments

4 pages, comments are welcome