Existence, Nonexistence and Multiplicity Results for Positive Radial Solutions of n−dimensional Elliptic System

• Published in: Asian Research Journal of Mathematics pp. 35 - 45
• Main Author: Shen, Yalin
• Format: Journal Article
• Language: English
• Published: 30.08.2021
• ISSN: 2456-477X; 2456-477X
• DOI: 10.9734/arjom/2021/v17i630307

Aims/ Objectives: In this paper, we study the existence, nonexistence and multiplicity of positive solutions to the n−dimensional elliptic system  systems have been widely studied, but there is relatively little research on n-dimensional elliptic systems. We are very interested in this subject and want to study it. We give new conclusions on the existence, nonexistence and multiplicity of positive solutions for the n-dimensional elliptic system. Study Design: Study on the existence, nonexistence and multiplicity of positive solutions. Place and Duration of Study: School of Applied Science, Beijing Information Science & Technology University, September 2019 to present. Methodology: We prove the existence, nonexistence and multiplicity of positive solutions by the results of fixed point index. Results: We give new conclusions of existence, nonexistence and multiplicity of positive solutionsfor the system. Conclusion: We prove the existence, nonexistence and multiplicity of positive solutions to the n-dimensional elliptic system   and give new conclusions.