| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2023-0492 |
| Bounded and blow-up solutions of $k$-Hessian system with augmented terms |
| Jiemei Li,Liyuan Wang |
| Keywords:$k$-Hessian system blow-up solutions monotone iterative method |
| Abstract: |
| The radial solutions of the $k$-Hessian system with augmented terms are considered. We not only prove the existence of entire bounded radial solutions, but also provide a necessary and sufficient condition for the existence of blow-up radial solutions under some suitable growth conditions of nonlinearity by using the monotone iterative method. Two concrete examples are presented to show an application of the main results. |
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