一类k-Hessian系统k-允许解的存在性
The Existence of k-Admissible Solution for a Class of k-Hessian System
DOI: 10.12677/pm.2024.1411378, PDF,    国家自然科学基金支持
作者: 冉文婕*, 丁欢欢：西北师范大学数学与统计学院，甘肃 兰州
关键词: k-Hessian系统；k-允许解；不动点定理；Coupled k-Hessian Equations； k-Admissible Solutions； Fixed Point Theorem
摘要: 研究一类带非线性算子和梯度项的多参数k-Hessian系统Dirichlet问题，运用Krasnosel’skii-Precup不动点定理获得了该系统非平凡k-允许径向解的存在性。
Abstract: In this paper, we investigate the Dirichlet problem of a k-Hessian system with a nonlinear operator and gradients. Several findings concerning the existence of k-admissible radial solutions are established via Krasnosel’skii-Precup fixed point theorem.
文章引用：冉文婕, 丁欢欢. 一类k-Hessian系统k-允许解的存在性[J]. 理论数学, 2024, 14(11): 89-97. https://doi.org/10.12677/pm.2024.1411378

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