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Eigenvalue problems for a k-Hessian-type equation
Publication type: Journal Article
Publication date: 2025-01-02
scimago Q2
wos Q1
SJR: 0.583
CiteScore: 4.0
Impact factor: 2.0
ISSN: 13925113, 23358963
Abstract
In this work, we focus on the eigenvalue problem for a class of k-Hessian-type equations. Under some suitable assumptions, we first determine the intervals of the parameter for the existence of nontrivial radial solutions. To this aim, we apply the eigenvalue theory and Jensen inequality. Finally, the behavior of the solutions with respect to the parameter is analyzed via Guo’s fixed point theorem.
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Yang Z., Bai Z. Eigenvalue problems for a k-Hessian-type equation // Nonlinear Analysis: Modelling and Control. 2025. Vol. 30. No. 1. pp. 58-71.
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Yang Z., Bai Z. Eigenvalue problems for a k-Hessian-type equation // Nonlinear Analysis: Modelling and Control. 2025. Vol. 30. No. 1. pp. 58-71.
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TY - JOUR
DO - 10.15388/namc.2025.30.38318
UR - https://www.journals.vu.lt/nonlinear-analysis/article/view/38318
TI - Eigenvalue problems for a k-Hessian-type equation
T2 - Nonlinear Analysis: Modelling and Control
AU - Yang, Zedong
AU - Bai, Zhanbing
PY - 2025
DA - 2025/01/02
PB - Vilnius University Press
SP - 58-71
IS - 1
VL - 30
SN - 1392-5113
SN - 2335-8963
ER -
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BibTex (up to 50 authors)
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@article{2025_Yang,
author = {Zedong Yang and Zhanbing Bai},
title = {Eigenvalue problems for a k-Hessian-type equation},
journal = {Nonlinear Analysis: Modelling and Control},
year = {2025},
volume = {30},
publisher = {Vilnius University Press},
month = {jan},
url = {https://www.journals.vu.lt/nonlinear-analysis/article/view/38318},
number = {1},
pages = {58--71},
doi = {10.15388/namc.2025.30.38318}
}
Cite this
MLA
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Yang, Zedong, and Zhanbing Bai. “Eigenvalue problems for a k-Hessian-type equation.” Nonlinear Analysis: Modelling and Control, vol. 30, no. 1, Jan. 2025, pp. 58-71. https://www.journals.vu.lt/nonlinear-analysis/article/view/38318.