The eigenvalue problem of a singular k-Hessian equation

作者：Zhang, Xinguang^*; Xu, Pengtao; Wu, Yonghong

来源：Applied Mathematics Letters, 2022, 124: 107666.

DOI：10.1016/j.aml.2021.107666

• k-Hessian equation
• Upper-lower solutions
• Eigenvalue problem
• Singularity

In this paper, we are concerned with the radial solutions for the eigenvalue problem of a singular k-Hessian equation. By constructing the upper and lower solutions of the k-Hessian equation, the existence of a radial solution for the eigenvalue problem is established via Schauder's fixed point theorem under the case where the nonlinearity possesses a singularity with respect to the space variable.

• 单位
  烟台大学