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一类带退化椭圆算子的非局部方程解的存在性

Existence of Solutions for a Class of Nonlocal Equations Involving the Degenerate Elliptic Operator
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摘要 利用临界点理论和分析技巧,证明一类带退化椭圆算子的非局部方程在适当的假设条件下非平凡解的存在性,所得结论丰富和发展了已有文献的相关结果. By critical point theory and analytical skills,the existence of solutions for a class of nonlocal equations involving the degenerate elliptic operator is proved under suitable assumptions.The results improve and generalize some of the corresponding existing results.
作者 鲁雄 姚娟 邵升琴 安育成 LU Xiong;YAO Juan;SHAO Sheng-qin;AN Yu-cheng(Department of Basic Education,Guiyang Vocational and Technical College,Guiyang 550025,China;School of Date Science,Tongren University,Tongren 554300,China;The Third Experimental School of Seven Star Pass District,Bijie 551700,China;School of Science,Guizhou University of Engineering Science,Bijie 551700,China)
出处 《数学的实践与认识》 2022年第9期175-179,共5页 Mathematics in Practice and Theory
基金 贵州省普通高等学校科技拔尖人才项目(黔教合KY字[2019]065) 毕节市自然科学基金项目(毕科联合字G[2019]11号) 贵工程转型试点专业项目(2018JG119)。
关键词 非局部方程 退化椭圆算子 临界点 nonlocal equation degenerate elliptic operator critical point
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