Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (1): 63-68.

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Multiplicity of Radial Solutions of $ k$-Hessian Equations

Zaitao Liang(),Xuemeng Shan()   

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Anhui Huainan 232001
  • Received:2019-10-09 Online:2021-02-26 Published:2021-01-29
  • Supported by:
    Supported by the NSFC(11901004);the NSF of Anhui Province(1908085QA02)

Abstract:

This paper concerns with a Dirichlet problem of the $ k$-Hessian equation. By using the Leggett-Williams fixed point theorem, we get some results on the existence of triple and arbitrarily many nontrivial radial solutions.

Key words: Radial solutions, Dirichlet problem, k-Hessian equations, Leggett-Williams fixed point theorem

CLC Number: 

  • O175.8
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