208 citations · 478 across the 22 of their papers we have counts for
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math.AP2011★ 1 cited
Intertwining semiclassical solutions to a Schrödinger-Newton system
Silvia Cingolani, Mónica Clapp, Simone Secchi
We study the problem (-ε\mathrm{i}\nabla+A(x)) ^{2}u+V(x)u=ε^{-2}(\frac{1}{|x|}\ast|u|^{2}) u, u\in L^{2}(\mathbb{R}^{3},\mathbb{C}),\text{\ \ \ \}ε\nabla u+\mathrm{i}Au\in L^{2}(\…
math.AP2011★ 208 cited
Multiple solutions to a magnetic nonlinear Choquard equation
Silvia Cingolani, Mónica Clapp, Simone Secchi
We consider the stationary nonlinear magnetic Choquard equation [(-\mathrm{i}\nabla+A(x))^{2}u+V(x)u=(\frac{1}{|x|^α}\ast |u|^{p}) |u|^{p-2}u,\quad x\in\mathbb{R}^{N}%] where …