Classification and existence of positive entire k-convex radial solutions for generalized nonlinear k-Hessian system
Classification and existence of positive entire k-convex radial solutions for generalized nonlinear k-Hessian system作者机构：School of Mathematics and Computer Science Shanxi Normal University Shanghai Automotive Wind Tunnel Center Tongji University
出 版 物：《Applied Mathematics:A Journal of Chinese Universities》 (高校应用数学学报B辑(英文版))
年 卷 期：2021年第36卷第4期
页 面：564-582页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：Supported by the National Natural Science Foundation of China(11501342 12001344)
主 题：35J60 35B08 35B09 k -Hessian system entire blow-up classification of radial solutions monotone iterative method
摘 要：In this paper, we consider the following generalized nonlinear k-Hessian system■,where G is a nonlinear operator and Sk(λ(Dz~2))stands for the k-Hessian operator. We first are interested in the classification of positive entire k-convex radial solutions for the k-Hessian system if φ(|x|, z1, z2) = b(|x|)φ(z1, z2) and ψ(|x|, z1, z2) = h(|x|)ψ(z1). Moreover, with the help of the monotone iterative method, some new existence results on the positive entire k-convex radial solutions of the k-Hessian system with the special non-linearities ψ, φ are given, which improve and extend many previous works.
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