Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials

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Abstract: In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions. As the fractional Laplacian is nonlocal, when the bottom of the potentials contains more than one isolated components, the least energy solutions may localize near all the isolated components simultaneously. This phenomenon is different from the Laplacian.

Standort: Deutsche Nationalbibliothek Frankfurt am Main

Umfang: Online-Ressource

Sprache: Englisch

Erschienen in: Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials ; volume:17 ; number:3 ; year:2017 ; pages:551-579 ; extent:29
Advanced nonlinear studies ; 17, Heft 3 (2017), 551-579 (gesamt 29)

Urheber: Tang, Zhongwei
Wang, Lushun

DOI: 10.1515/ans-2016-6015

URN: urn:nbn:de:101:1-2405031555437.048434597407

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

Letzte Aktualisierung: 14.08.2025, 10:44 MESZ

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Beteiligte

Tang, Zhongwei
Wang, Lushun

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Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials

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