摘要
本文研究一类在零点或无穷远点非渐近线性的p-Laplace问题.利用分歧和拓扑方法,获得了问题正解的存在性,不存在性和多解性结果,丰富和推广了正解存在性的已有结果.
This paper studies a p-Laplacian problem with non-asymptotic nonlinearity at zero or infinity.By using the bifurcation and topological methods,the existence/nonexistence and multiplicity of positive solutions are obtained.The previous results of the existence of positive solutions are enriched and generalized.
作者
罗华
LUO Hua(School of Economics and Finance,Shanghai International Studies University,Shanghai 201620,China;School of Mathematics,Dongbei University of Finance and Economics,Dalian 116025,China)
出处
《数学杂志》
2020年第5期539-543,共5页
Journal of Mathematics
基金
NSF of Liaoning Province(2019-MS-109)
HSSF of Chinese Ministry of Education(20YJA790049).
关键词
分歧
正解
p-Laplace
拓扑方法
bifurcation
positive solution
p-Laplacian
topological method
