37 citations · 83 across the 15 of their papers we have counts for
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math.AP2021★ 11 cited
On fractional Schrödinger equations with Hartree type nonlinearities
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
Goal of this paper is to study the following doubly nonlocal equation \begin{equation}\label{eq_abstract} (- Δ)^s u + μu = (I_α*F(u))F'(u) \quad \hbox{in } \tag{P} \e…
math.AP2021★ 37 cited
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
We study existence of solutions for the fractional problem \begin{equation*} (P_m) \quad \left \{ \begin{aligned} (-Δ)^{s} u + μu &=g(u) & \; \text{in }, \cr \int_{\m…
math.AP2021★ 6 cited
Multiplicity and concentration results for local and fractional NLS equations with critical growth
Marco Gallo
Goal of this paper is to study positive semiclassical solutions of the nonlinear Schrödinger equation where…