Multiplicity results for a fractional Schrodinger equation with potentials

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Multiplicity results for some nonlinear Schrödinger equations with potentials

(K1) K ∈ C(R), K is bounded and K(x) > 0 ∀ x ∈ R. One seeks solutions uε of (NLS) that concentrate, as ε→ 0, near some point x0 ∈ R (semiclassical standing waves). By this we mean that for all x ∈ R \ {x0} one has that uε(x) → 0 as ε→ 0. When K equals a positive constant, say K(x) ≡ 1, (NLS) has been widely investigated, see [2, 3, 10, 12, 15, 16, 18] and references therein. Moreover, the exist...

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ژورنال

عنوان ژورنال: Rocky Mountain Journal of Mathematics

سال: 2019

ISSN: 0035-7596

DOI: 10.1216/rmj-2019-49-7-2205