| 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. |
| 关键词: 分歧 正解 p-Laplace 拓扑方法 |
| DOI： |
| 分类号:O177.91;O175.2 |
| 基金项目:Supported by NSF of Liaoning Province (2019-MS-109) and HSSF of Chinese Ministry of Education (20YJA790049). |
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| BIFURCATION AND POSITIVE SOLUTIONS OF A p-LAPLACIAN PROBLEM |
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LUO Hua1,2
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1.School of Economics and Finance, Shanghai International Studies University, Shanghai 201620, China;2.School of Mathematics, Dongbei University of Finance and Economics, Dalian 116025, China
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| Abstract: |
| 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. |
| Key words: bifurcation positive solution p-Laplacian topological method |
