Ground state solution and nodal solution for fractional nonlinear Schrödinger equation with indefinite potential

We prove that under some mild assumptions, the nonlinear fractional Schrödinger equation (−Δ)su+V(x)u=f(u) (x∈RN), where V(x) is an indefinite potential, has two nonzero solutions: one is a positive ground state solution, and the other is a sign-changing solution.

Bibliographische Detailangaben

Veröffentlicht in:	Journal of mathematical physics 2019-04, Vol.60 (4)
Hauptverfasser:	Li, Yuan, Zhao, Dun, Wang, Qingxuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Ground state Physics Schrodinger equation
Online-Zugang:	Volltext
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