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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Authors: | Dragos-Patru COVEI |
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Institution: | Department of Applied Mathematics, The Bucharest University of Economic Studies, Bucharest 010374, Romania |
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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 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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Keywords: | existence Keller-Osserman condition 35J47 34B15 35J57 |
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