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arXiv · 1508.07426

A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights

Dragos-Patru Covei
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Abstract

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. Our results complete and improve a recently work published 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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Dragos-Patru Covei. 2015-08-29. A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights. https://arxiv.org/abs/1508.07426

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