A NECESSARY AND A SUFFICIENT CONDITION FOR THE EXISTENCE OF THE POSITIVE RADIAL SOLUTIONS TO HESSIAN EQUATIONS AND SYSTEMS WITH WEIGHTS

被引：0
|
作者：
Covei, Dragos-Patru [1 ]
机构：
[1] Bucharest Univ Econ Studies, Dept Appl Math, Bucharest 010374, Romania
来源：
ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 01期
关键词：
existence; Keller-Osserman condition; k-Hessian equation and system; SEMILINEAR ELLIPTIC-SYSTEMS; BOUNDARY-VALUE-PROBLEMS; MONGE-AMPERE TYPE; DIRICHLET PROBLEM; NONEXISTENCE; OPERATORS; TERMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider the existence of positive radial solutions for Hessian equations and systems with weights and we give a necessary condition as well as a sufficient condition for a positive radial solution to be large. The method of proving theorems is essentially based on a successive approximation technique. Our results complete and improve a work published recently by Zhang and Zhou (existence of entire positive k-convex radial solutions to Hessian equations and systems with weights. Applied Mathematics Letters, Volume 50, December 2015, Pages 48-55).
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页码：47 / 57
页数：11
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