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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 19 Aug 2019 English Publisher:MDPI AGJournal:Mathematics, volume 7, page 756 (eissn: 2227-7390,

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Authors: Qing Miao;

doi: 10.3390/math7080756

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

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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.

Related Organizations

Yunnan Open University
China (People's Republic of)

Keywords

QA1-939, p(x)-biharmonic operator, variable exponent space, nonlocal elliptic system, variational theorem, Mathematics

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