Multiple solutions for fractional elliptic systems

Author:

Guo Zhao1

Affiliation:

1. College of Architectural Engineering and Planning , 71220 Jiujiang University , Jiujiang 332005 , P. R. China

Abstract

Abstract This paper investigates the existence and multiplicity of solutions to fractional elliptic systems on conical spaces. Specifically, we focus on the challenges posed by complex geometric configurations, including cones with rough bases, and their implications for the treatment of lateral boundary conditions. By utilizing the fibering map approach and iterative method, we aim to address these challenges and provide new insights into the field. Notably, these issues have not been previously explored in existing literature, highlighting the originality and significance of our study.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangxi Province

Publisher

Walter de Gruyter GmbH

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