Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (6): 1825-1838.

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Boundary Value Problems for Some Degenerate Fully Nonlinear Elliptic Equations Arising in Conformal Geometry

Yan He*(), Yuanzheng Zhang()   

  1. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062
  • Received:2025-03-28 Revised:2025-06-23 Online:2025-12-26 Published:2025-11-18
  • Contact: Yan He E-mail:202421104011309@stu.hubu.edu.cn;helenaig@hubu.edu.cn

Abstract:

This paper considers the a priori estimates for a class of degenerate fully nonlinear equations arising in conformal geometry on manifolds with boundary. Based on these a priori estimates, we obtain an existence result using the continuity method.

Key words: conformal geometry, degenerate equations, a priori estimates

CLC Number: 

  • O186.12
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