In this article, we prove two new results on the existence of positive entire large and bounded radial solutions for nonlinear system with gradient terms
where is the -Hessian operator, are continuous functions satisfying certain properties. Our results expand those by Zhang and Zhou . The main difficulty in dealing with our system is the presence of the convection term.
Submitted August 23, 2016. Published October 10, 2016.
Math Subject Classifications: 35J25, 35J47, 35J96.
Key Words: Entire solution; large solution; elliptic system.
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| Dragos-Patru Covei |
Department of Applied Mathematics
The Bucharest University of Economic Studies
Piata Romana, 1st district, postal code 010374
postal office 22, Romania
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