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Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2020-06-27 , DOI: 10.1016/j.cnsns.2020.105396 Guotao Wang , Zedong Yang , Lihong Zhang , Dumitru Baleanu
中文翻译:
涉及非线性算子的非线性k- Hessian系统的径向解
更新日期:2020-06-27
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2020-06-27 , DOI: 10.1016/j.cnsns.2020.105396 Guotao Wang , Zedong Yang , Lihong Zhang , Dumitru Baleanu
In this paper, we consider the following nonlinear k-Hessian system
where is a nonlinear operator. This paper first proves the existence of the entire positive bounded radial solutions, and secondly gives the existence and non-existence conditions of the entire positive blow-up radial solutions. Finally, we give some examples to illustrate our results.
中文翻译:
涉及非线性算子的非线性k- Hessian系统的径向解
在本文中,我们考虑以下非线性k -Hessian系统
哪里 是一个非线性算子。本文首先证明了整个正有界径向解的存在性,其次给出了整个正爆破径向解的存在和不存在的条件。最后,我们给出一些例子来说明我们的结果。