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Peer-reviewedCC BYDemonstratio Mathematica

Existence and asymptotic behavior of radial solutions for a k-Hessian equation with the gradient

  • Yang Zedong1
  1. 1Department of Mathematics, Xinzhou Normal University, Xinzhou, Shanxi034000, P.R. China
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Abstract

In this work, we focus on the existence and asymptotic behavior of radial solutions for the k-Hessian equation with the nonlinear gradient termsSkσD2u=λb(|x|)φ(−u)|∇u|m,inΩ,u=0,on∂Ω, k(σ (D2u))=λ b(| x| )φ (−u)| ∇ u| m, in Ω,hfill u=0, on ∂ Ω,hfill

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Cite

BibTeXRIS
BibTeX
@article{zedong2026existence,
  title = {{Existence and asymptotic behavior of radial solutions for a k-Hessian equation with the gradient}},
  author = {Yang Zedong},
  journal = {Demonstratio Mathematica},
  year = {2026},
  month = oct,
  doi = {10.1515/dema-2025-0314},
  url = {https://doi.org/10.1515/dema-2025-0314},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Existence and asymptotic behavior of radial solutions for a k-Hessian equation with the gradient
AU  - Yang Zedong
PY  - 2026
DA  - 2026/10/26
JO  - Demonstratio Mathematica
DO  - 10.1515/dema-2025-0314
UR  - https://doi.org/10.1515/dema-2025-0314
AB  - In this work, we focus on the existence and asymptotic behavior of radial solutions for the k-Hessian equation with the nonlinear gradient termsSkσD2u=λb(|x|)φ(−u)|∇u|m,inΩ,u=0,on∂Ω, _k(σ (D^2u))=λ b(| x| )φ (−u)| ∇ u| ^m, in Ω,hfill u=0, on ∂ Ω,hfill
SN  - 2391-4661
ER  -