Entire positive k-convex solutions to k-Hessian type equations and systems

被引：3
|
作者：
Bai, Shuangshuang [1 ]
Zhang, Xuemei [1 ]
Feng, Meiqiang [2 ]
机构：
[1] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 02期
基金：
北京市自然科学基金;
关键词：
k-Hessian type equation and system; entire positive k-convex solution; monotone iterative; existence; RADIAL SOLUTIONS; EXISTENCE; NONEXISTENCE;
D O I：
10.3934/era.2022025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of entire positive solutions for the k-Hessian type equation S-k(D-2 u + alpha I) = p(vertical bar x vertical bar) f(k) (u), x is an element of R-n and system {S-k(D(2)u + alpha I) = p(vertical bar x vertical bar) f(k) (v), x is an element of R-n, S-k(D(2)v + alpha I) = q(vertical bar x vertical bar)g(k)(u), x is an element of R-n, where D(2)u is the Hessian of u and I denotes unit matrix. The arguments are based upon a new monotone iteration scheme.
引用
收藏
页码：481 / 491
页数：11
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