Journal of Jilin University Science Edition ›› 2026, Vol. 64 ›› Issue (4): 751-0756.

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Existence of Radial Solutions for a Class of k-Hessian Equations with Dirichlet Problems

Deng Wenting   

  1. Deng Wenting

  • Received:2025-11-11 Online:2026-07-26 Published:2026-07-26

Abstract: Based on a new modified Gustafson-Schmitt type fixed point theorem, the author give sufficient conditions for the existence of radial solutions to the Dirichlet boundary value problem of the k-Hessian equation when the nonlinear term  satisfies the appropriate growth condition only at u=0.


Key words: k-Hessian equation, fixed point theorem, k-radial solution

CLC Number: 

  • O175.8