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

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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… Click to show full 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: multiple solutions; involving biharmonic; solutions nonlocal; nonlocal elliptic; biharmonic operator

Journal Title: Mathematics
Year Published: 2019

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