Yang, ZedongZhang, LihongBaleanu, DumitruWang, Guotao02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-12-072025-09-182022-12-072025-09-182020Wang, Guotao...et al. (2020). "Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator", Communications in Nonlinear Science and Numerical Simulation, Vol. 91.1007-57041878-7274https://doi.org/10.1016/j.cnsns.2020.105396https://hdl.handle.net/20.500.12416/13286Zhang, Lihong/0000-0002-3144-2237In this paper, we consider the following nonlinear k-Hessian system {G(S-k(1/k)(lambda(D-2 z(1))))S-k(1/k)(lambda(D-2 z(1))) = b(|x|)phi(z(1), z(2)), x is an element of R-N, G(S-k(1/k)(lambda(D(2)z(2))))S-k(1/k)(lambda(D(2)z(2)) = h(|x|)psi(z(1), z(2)), x is an element of R-N, where G 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. (c) 2020 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessK-Hessian SystemNonlinear OperatorPositive Radial SolutionBlow-UpMonotone Iterative MethodArticle10.1016/j.cnsns.2020.1053962-s2.0-85087326581