Remarks about a fractional Choquard equation: Ground state, regularity and polynomial decay

Remarks about a fractional Choquard equation: Ground state, regularity and polynomial decay

With appropriate hypotheses on the nonlinearity f, we prove the existence of a ground state solution u for the problem (−Δp)su+A|u|p−2u=1|x|μ∗F(u)f(u)inRN,where 0

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Veröffentlicht in:Nonlinear analysis 2017-11, Vol.164, p.38-53
Hauptverfasser: Belchior, P., Bueno, H., Miyagaki, O.H., Pereira, G.A.
Format: Artikel
Sprache:eng
Schlagworte:
Choquard equations
Decay
Fractional Laplacian
Ground state
Laplace transforms
Nonlinear equations
Polynomial decay
Polynomials
Radon
Variational methods
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Zusammenfassung:With appropriate hypotheses on the nonlinearity f, we prove the existence of a ground state solution u for the problem (−Δp)su+A|u|p−2u=1|x|μ∗F(u)f(u)inRN,where 0
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2017.08.005