Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
This paper investigates the positive radial solutions of a nonlinear k -Hessian system. Λ S k 1 / k λ D 2 z 1 S k 1 / k λ D 2 z 1 = b x φ z 1 , z 2 , x ∈ ℝ N Λ S k 1 / k λ D 2 z 2 S k 1 / k λ D 2 z 2 = h x ψ z 1 , z 2 , x ∈ ℝ N , where Λ is a nonlinear operator and b , h , φ , ψ are continuous functions. With the help of Keller–Osserman type conditions and monotone iterative technique, the positive radial solutions of the above problem are given in cases of finite, infinite, and semifinite. Our results complement the work in by Wang, Yang, Zhang, and Baleanu (Radial solutions of a nonlinear k -Hessian system involving a nonlinear operator, Commun. Nonlinear Sci. Numer. Simul. 91(2020), 105396).
This paper investigates the positive radial solutions of a nonlinear k -Hessian system. Λ S k 1 / k λ D 2 z 1 S k 1 / k λ D 2 z 1 = b x φ z 1 , z 2 , x ∈ ℝ N Λ S k 1 / k λ D 2 z 2 S k 1 / k λ D 2 z 2 = h x ψ z 1 , z 2 , x ∈ ℝ N , where Λ is a nonlinear operator and b , h , φ , ψ are continuous functions. With the help of Keller–Osserman type conditions and monotone iterative technique, the positive radial solutions of the above problem are given in cases of finite, infinite, and semifinite. Our results complement the work in by Wang, Yang, Zhang, and Baleanu (Radial solutions of a nonlinear k -Hessian system involving a nonlinear operator, Commun. Nonlinear Sci. Numer. Simul. 91(2020), 105396).
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.