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

查看全文 作　　者：Dragos-Patru [1]COVEI

机构地区：[1]Department of Applied Mathematics,The Bucharest University of Economic Studies,Bucharest 010374,Romania

出　　处：《Acta Mathematica Scientia》索引2017年第37卷第1期,共11页

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). 关键词：正径向解充要条件系统方程解的存在性带权充分条件逼近技术

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

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