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具p-双调和算子的非局部椭圆方程Navier边值问题的广义解

Generalized Solutions to Nonlocal Elliptic Equations Navier Boundary Value Problems with p-Biharmonic Operators
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摘要 利用变分方法和相应的临界点定理研究一类具有p-双调和算子的非局部椭圆方程Navier边值问题,在非线性项满足超线性条件时,得到了两个非平凡广义解的存在性定理. By using variational methods and corresponding critical points theorems,we investigated a class of nonlocal elliptic equations Navier boundary value problems with p-biharmonic operators.We obtained two existence theorems for nontrivial generalized solutions when nonlinear terms satisfied super-linear conditions.
作者 刘健 赵增勤 LIU Jian;ZHAO Zengqin(School of Statistics and Mathematics,Shandong University of Finance and Economics,Jinan 250014,China;School of Mathematical Sciences,Qufu Normal University,Qufu 273165,Shandong Province,China)
机构地区 山东财经大学统计与数学学院 曲阜师范大学数学科学学院
出处 《吉林大学学报（理学版）》 CAS 北大核心 2024年第2期205-210,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11571197) 山东省自然科学基金(批准号:ZR2021MA070)。
关键词 非局部椭圆方程 Navier边值问题 p-双调和算子 变分方法 广义解 nonlocal elliptic equation Navier boundary value problem p-biharmonic operator variational method generalized solution
分类号 O175.2 [理学—基础数学]
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吉林大学学报（理学版）
2024年 第2期

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