Logarithmic gradient estimates to a Monge-Ampere Type equation on \(S^n\)

  • Authors

    • Yunhua Ye Jia Ying University
    2015-07-16
    https://doi.org/10.14419/gjma.v3i3.4904
  • Monge-Ampere equation, logarithmic, gradient estimate.
  • Abstract

    Monge-Ampere type equations arise naturally from many geometric problems. In this paper, we are concerned with one of these Monge-Ampere type equations on  dimensional sphere \(S^n\) and obtain logarithmic gradient estimate by using Bernstein technique.

  • References

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  • How to Cite

    Ye, Y. (2015). Logarithmic gradient estimates to a Monge-Ampere Type equation on \(S^n\). Global Journal of Mathematical Analysis, 3(3), 126-129. https://doi.org/10.14419/gjma.v3i3.4904

    Received date: 2015-06-09

    Accepted date: 2015-07-08

    Published date: 2015-07-16