The existence of radial k-admissible solutions for n-dimension system of k-Hessian equations

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI:10.1007/s11766-023-4648-1

Xing-yue He, Jing-jing Wang, Cheng-hua Gao

引用次数: 0

Abstract

In this paper, we focus on a general n-dimension system of k-Hessian equations. By introducing some new suitable growth conditions, the existence results of radial k-admissible solutions of the k-Hessian system are obtained. Our approach is largely based on the well-known fixed-point theorem.

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n维k-Hessian方程组径向k容许解的存在性

本文主要讨论一类一般的n维k-Hessian方程组。通过引入一些新的适宜生长条件，得到了k-Hessian系统径向k容许解的存在性结果。我们的方法主要基于众所周知的不动点定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.