The Neumann problem of Hessian quotient equations

Chuanqiang Chen; Dekai Zhang

The Neumann problem of Hessian quotient equations

Analysis of PDEs 2020-03-25 v1

Authors: Chuanqiang Chen , Dekai Zhang

Abstract

In this paper, we obtain some important inequalities of Hessian quotient operators, and global $C^2$ estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of $k$ -admissible solutions of the Neumann problem of Hessian quotient equations.

Keywords

neumann problem hessian quotient equations hessian quotient operators c2 estimates k-admissible solutions method of continuity

Cite

@article{arxiv.2003.10875,
  title  = {The Neumann problem of Hessian quotient equations},
  author = {Chuanqiang Chen and Dekai Zhang},
  journal= {arXiv preprint arXiv:2003.10875},
  year   = {2020}
}

Comments

39 pages. arXiv admin note: text overlap with arXiv:2003.05287, arXiv:2001.01427; text overlap with arXiv:1903.04231 arXiv:1903.05459, arXiv:1508.00196 by other authors

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