JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 55-63.doi: 10.6040/j.issn.1671-9352.0.2022.133

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Eigenvalue problem of a coupled system of singular k-Hessian equations

DING Huan-huan, HE Xing-yue*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2023-03-02

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Abstract: This paper focuses on the existence of radial solutions for the eigenvalue problem of a coupled system of singular k-Hessian equations. By constructing the suitable upper and lower solutions and using the Schauder fixed point theorem, it is proved that at least one radial solution exists in this problem and some asymptotic properties of the radial solution are obtained.

Key words: k-Hessian equation, Hessian matrix, upper and lower solution, singularity

CLC Number: 

  • O175.8
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