Sign-Changing Solutions of Fractional -Laplacian Problems

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Abstract: In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory. In addition, we prove that the problem admits at least one least energy sign-changing solution by combining the Nehari manifold method with the constrained variational method and Brouwer degree theory. Furthermore, the least energy of sign-changing solutions is shown to exceed twice that of the least energy solutions.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Sign-Changing Solutions of Fractional -Laplacian Problems ; volume:19 ; number:1 ; year:2019 ; pages:29-53 ; extent:25
Advanced nonlinear studies ; 19, Heft 1 (2019), 29-53 (gesamt 25)

Creator: Chang, Xiaojun
Nie, Zhaohu
Wang, Zhi-Qiang

DOI: 10.1515/ans-2018-2032

URN: urn:nbn:de:101:1-2405031613369.454562471863

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

Last update: 14.08.2025, 10:44 AM CEST

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Chang, Xiaojun
Nie, Zhaohu
Wang, Zhi-Qiang

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Sign-Changing Solutions of Fractional -Laplacian Problems

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Other Objects (12)

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