Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (2): 493-511.

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Gradient Estimate of Solutions to Hessian Quotient Equations with Oblique Boundary Value

Na Chen(),Peihe Wang*()   

  1. School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165
  • Received:2023-08-30 Revised:2024-09-03 Online:2025-04-26 Published:2025-04-09
  • Contact: Peihe Wang E-mail:nachen93@163.com;peihewang@hotmail.com
  • Supported by:
    Natural Science Foundation of Shandong Province of China(ZR2020MA018)

Abstract:

In this paper, the Hessian quotient equations with prescribed contact angle boundary value or oblique derivative boundary value problem are studied. Finally a priori global gradient estimate for the k-admissible solutions is derived.

Key words: Hessian quotient equation, prescribed contact angle boundary value, oblique derivative boundary value, gradient estimate

CLC Number: 

  • O175.23
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