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
  • [41] Isoperimetric inequalities for k-Hessian equations
    Mohammed, Ahmed
    Porru, Giovanni
    Safoui, Abdessalam
    ADVANCES IN NONLINEAR ANALYSIS, 2012, 1 (02) : 181 - 203
  • [42] Polyharmonic k-Hessian equations in RN
    Balodis, Pedro
    Escudero, Carlos
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (08) : 3363 - 3399
  • [43] Boundary Regularity for k-Hessian Equations
    Li, You
    Li, Meng Ni
    Liu, Yan Nan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (12) : 2393 - 2413
  • [44] Existence and uniqueness of nontrivial radial solutions for k-Hessian equations
    Zhang, Xuemei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 492 (01)
  • [45] Local solvability of the k-Hessian equations
    GuJi Tian
    Qi Wang
    Chao-Jiang Xu
    Science China Mathematics, 2016, 59 : 1753 - 1768
  • [46] Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
    Ben Chrouda, Mohamed
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (62) : 1 - 17
  • [47] A necessary and sufficient condition for the existence of entire large solutions to a k-Hessian system
    Zhang, Xinguang
    Chen, Peng
    Wu, Yonghong
    Wiwatanapataphee, Benchawan
    APPLIED MATHEMATICS LETTERS, 2023, 145
  • [48] The Dirichlet problem for nonsymmetric augmented k-Hessian type equations
    Tran, Bang Van
    Ha, Ngoan Tien
    Nguyen, Tho Huu
    Phan, Tien Trong
    Nonlinear Analysis, Theory, Methods and Applications, 2025, 251
  • [49] Existence and asymptotic behavior of strictly convex solutions for singular k-Hessian equations with nonlinear gradient terms
    He, Xingyue
    Gao, Chenghua
    Wang, Jingjing
    Yao, Xiaobin
    GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (05) : 713 - 725
  • [50] Singular solutions to k-Hessian equations with fast-growing nonlinearities
    do O, Joao Marcos
    Shamarova, Evelina
    da Silva, Esteban
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 222
12345