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20182025
most citedExploring the phase diagrams of multidimensional Kuramoto models

11 citations

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math.AP2019★ 7 cited

Nonlinear Perturbations of a periodic magnetic Choquard equation with Hardy-Littlewood-Sobolev critical exponent

Hamilton Bueno, Narciso Lisboa, Leandro Vieira

In this paper, we consider the following magnetic nonlinear Choquard equation \[-(\nabla+iA(x))^2u+ V(x)u = \left(\frac{1}{|x|^α}*|u|^{2_α^*}\right) |u|^{2_α^*-2} u + λf(u)\ \textr…