Sign-Changing Solutions of Fractional -Laplacian Problems
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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Chang, Xiaojun
Nie, Zhaohu
Wang, Zhi-Qiang
- DOI
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10.1515/ans-2018-2032
- URN
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urn:nbn:de:101:1-2405031613369.454562471863
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:44 MESZ
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Beteiligte
- Chang, Xiaojun
- Nie, Zhaohu
- Wang, Zhi-Qiang
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