Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain

oleh: Xiaoming Wang, Jehad Alzabut, Mahammad Khuddush, Michal Fečkan

Format: Article
Diterbitkan: MDPI AG 2023-05-01

Deskripsi

This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach space. Furthermore, we utilize Rus’ theorem in a metric space, to prove the uniqueness of solutions for the problem. Examples are constructed for the sake of verification.