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Multiple Solutions for Nonlocal Elliptic Systems Involving p(x)-Biharmonic Operator

Qing Miao
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Qing Miao: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China

Mathematics, 2019, vol. 7, issue 8, 1-10

Abstract: This paper analyzes the nonlocal elliptic system involving the p(x)-biharmonic operator. We give the corresponding variational structure of the problem, and then by means of Ricceri’s Variational theorem and the definition of general Lebesgue-Sobolev space, we obtain sufficient conditions for the infinite solutions to this problem.

Keywords: nonlocal elliptic system; p(x)-biharmonic operator; variable exponent space; variational theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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