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Infinitely many periodic solutions for a class of fractional Kirchhoff problems - MaRDI portal

Infinitely many periodic solutions for a class of fractional Kirchhoff problems (Q2332949)

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Infinitely many periodic solutions for a class of fractional Kirchhoff problems
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    Infinitely many periodic solutions for a class of fractional Kirchhoff problems (English)
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    5 November 2019
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    The main result of the present paper establishes the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems. These nonlocal problems are driven by a relativistic Schrödinger operator with periodic boundary conditions and involving different types of nonlinearities. The proofs combine variational methods, energy estimates, and related topological tools.
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    fractional Kirchhoff equation
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    periodic solutions
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    variational methods
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