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
相关论文
共 50 条
  • [21] Second order estimates for convex solutions of degenerate k-Hessian equations
    Jiao, Heming
    Wang, Zhizhang
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 286 (03)
  • [22] Lelong-Jensen type formula, k-Hessian boundary measure and Lelong number for k-convex functions
    Wan, Dongrui
    Wang, Wei
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 99 (06): : 635 - 654
  • [23] Admissible solutions to augmented nonsymmetric k-Hessian type equations I. The d-concavity of the k-Hessian type functions
    Bang Tran Van
    Ngoan Ha Tien
    Tho Nguyen Huu
    Tien Phan Trong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 504 (02)
  • [24] Nonexistence of Entire Positive Solution for a Conformal k-Hessian Inequality
    Feida Jiang
    Saihua Cui
    Gang Li
    Czechoslovak Mathematical Journal, 2020, 70 : 311 - 322
  • [25] Entire large solutions to the k-Hessian equations with weights: Existence, uniqueness and asymptotic behavior
    Wan, Haitao
    Shi, Yongxiu
    Qiao, Xiaoyan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (01)
  • [26] The multiplicity of radial k-convex solutions for an augmented Hessian equation
    Zhang, Lihong
    Zhang, Yu
    Wang, Guotao
    Ahmad, Bashir
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 527 (01)
  • [27] Positive Radially Symmetric Entire Solutions of p-k-Hessian Equations and Systems
    Fan, Wei
    Dai, Limei
    Wang, Bo
    MATHEMATICS, 2022, 10 (18)
  • [28] On the Symmetry of Solutions to a k-Hessian Type Equation
    Brandolini, Barbara
    ADVANCED NONLINEAR STUDIES, 2013, 13 (02) : 487 - 493
  • [29] Nontrivial solutions for multiparameter k-Hessian systems
    Ding, Huanhuan
    Gao, Chenghua
    He, Xingyue
    QUAESTIONES MATHEMATICAE, 2024,
  • [30] A characterization of semistable radial solutions of k-Hessian equations
    Navarro, Miguel Angel
    Sanchez, Justino
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 497 (02)
12345