The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities
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Publication:1791722
DOI10.1016/j.na.2018.06.009zbMath1403.35270arXiv1802.00235OpenAlexW2787523820MaRDI QIDQ1791722
Publication date: 11 October 2018
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00235
variational methodsground stateHardy inequalityNehari manifoldfractional Schrödinger equationsign-changing nonlinearityperiodic and localized potentials
Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Fractional partial differential equations (35R11)
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