In this paper, two new results and short proofs are given for the existence of positive entire large and bounded radial positive solutions for a nonlinear system with gradient term. Our results complete and improve a recently work published by Zhang and Zhou. The main difficulty in dealing with our system is the presence of the convection term.
Existence of positive solutions for nonlinear systems
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part II: The nonlinear system
Qualitative properties of a nonlinear system involving the $p$-Laplacian operator
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