Ground state solutions to biharmonic equations involving critical nonlinearities and multiple singular potentials

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• 作者：Dongsheng Kang ; ^{dongshengkang@scuec.edu.cn} ; Ping Xiong
• 关键词：Biharmonic problem ; Ground state solution ; Rellich inequality ; Variational method
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：66
• 期：Complete
• 页码：9-15
• 全文大小：715 K
• 卷排序：66

文摘

In this paper, a biharmonic problem is investigated, which involves critical Sobolev nonlinearity and multiple Rellich-type terms. By complicated asymptotic analysis and variational arguments, the existence and nonexistence of ground state solution to the problem are established.