Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain-Reference-Cited by-同舟云学术

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

Published:2023-05-14 Issue:5 Volume:12 Page:474
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Wang Xiaoming¹^ORCID,Alzabut Jehad²³^ORCID,Khuddush Mahammad⁴^ORCID,Fečkan Michal⁵⁶^ORCID

Affiliation:

1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

3. Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Türkiye

4. Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Visakhapatnam 530013, Andhra Pradesh, India

5. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská Dolina, 842 48 Bratislava, Slovakia

6. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/5/474/pdf

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