208 citations · 478 across the 22 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…