Nodal solutions for a fractional Choquard equation
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DOI: 10.1016/j.jmaa.2018.04.048
Abstract: Abstract In this paper, we study the existence of nodal solutions for the following fractional Choquard equation ( − △ ) α u + u = ∫ R N | u ( z ) |… read more here.
Keywords: choquard equation; fractional choquard; nodal solutions; solutions fractional ... See more keywords
Strong instability of standing waves for the fractional Choquard equation
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DOI: 10.1063/1.5043473
Abstract: Using variational methods and the potential well theory, strong instability of standing waves for a class of fractional Schrodinger-Choquard equations is established in the mass super-critical and energy sub-critical case.Using variational methods and the potential… read more here.
Keywords: strong instability; instability standing; standing waves; waves fractional ... See more keywords
Ground state solutions for asymptotically periodic fractional Choquard equations
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DOI: 10.14232/ejqtde.2019.1.2
Abstract: This paper is dedicated to studying the following fractional Choquard equation (−4)su + V(x)u = (∫ RN Q(y)F(u(y)) |x− y|μ dy ) Q(x) f (u), u ∈ Hs(RN), where s ∈ (0, 1), N ≥… read more here.
Keywords: state solutions; asymptotically periodic; ground state; fractional choquard ... See more keywords