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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• 作者：Dragos-Patru COVEI ^{patrucovei@yahoo.com}
• 关键词：existence ; Keller-Osserman condition ; k-Hessian equation and system
• 刊名：Acta Mathematica Scientia
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：37
• 期：1
• 页码：47-57
• 全文大小：195 K
• 卷排序：37

文摘

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).