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含有各阶导数的共振四阶p-Laplace方程边值问题解的存在性 被引量:1

On the Existence of Solutions to Boundary Value Problem of Resonance Fourth-Order P-Laplace with all Order Derivatives
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摘要 讨论了含有各阶导数的共振四阶p-Laplace方程边值问题■这里0 <ξ,η<1;a,b> 0.使得aξ=1,且b^(p-1)η≤1运用重合度理论得到问题解的存在性. This paper deals wih the fourth-order p-Laplace boundary value problem of resonance■where0<ξ,η<1;a,b>0 such that aξ=1 and bp-1η≤1.The existence of solution is obtained by means of Mawhin’s continuation theorem.
作者 林远健 杨飞 LIN Yuan-jian;YANG Fei(Nanchang Institute of Science and Technology,Nanchang 330108,China)
出处 《数学的实践与认识》 北大核心 2019年第8期287-291,共5页 Mathematics in Practice and Theory
基金 教育厅科学技术研究青年项目(GJJ171107)
关键词 共振 P-LAPLACE算子 重合度理论 边值问题 resonance p-laplace theory of coincidence degree boundary value problem
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