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Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains - MaRDI portal

Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains (Q2026211)

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scientific article; zbMATH DE number 7349522
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English
Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains
scientific article; zbMATH DE number 7349522

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    Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains (English)
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    19 May 2021
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    Summary: In this paper, we establish the existence of at least three weak solutions for a parametric double eigenvalue quasi-linear elliptic \((p(x), q(x))\)-Kirchhoff-type potential system. Our approach is based on a variational method, and a three critical point theorem is obtained by Bonano and Marano.
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    system of Kirchhoff-type equations
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    existence of solutions
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    variational methods
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