Existence of Multiple Periodic Solutions for a Semilinear Wave Equation in an n -Dimensional Ball

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Abstract: This paper is devoted to the study of periodic solutions for a radially symmetric semilinear wave equation in an n-dimensional ball. By combining the variational methods and saddle point reduction technique, we obtain the existence of at least three periodic solutions for arbitrary space dimension n. The structure of the spectrum of the linearized problem plays an essential role in the proof, and the construction of a suitable working space is devised to overcome the restriction of space dimension.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Existence of Multiple Periodic Solutions for a Semilinear Wave Equation in an n -Dimensional Ball ; volume:19 ; number:3 ; year:2019 ; pages:529-544 ; extent:16
Advanced nonlinear studies ; 19, Heft 3 (2019), 529-544 (gesamt 16)

Creator: Wei, Hui
Ji, Shuguan

DOI: 10.1515/ans-2018-2036

URN: urn:nbn:de:101:1-2405031614033.494647552588

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 11:03 AM CEST

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Wei, Hui
Ji, Shuguan

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Existence of Multiple Periodic Solutions for a Semilinear Wave Equation in an n -Dimensional Ball

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