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20132026
most citedExistence of groundstates for a class of nonlinear Choquard equations in the plane

38 citations · 135 across the 21 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AP2016

A unified approach of blow-up phenomena for two-dimensional singular Liouville systems

Luca Battaglia, Angela Pistoia

We consider generic 2 x 2 singular Liouville systems on a smooth bounded domain in the plane having some symmetry with respect to the origin. We construct a family of solutions to…

math.AP2016★ 38 cited

Existence of groundstates for a class of nonlinear Choquard equations in the plane

Luca Battaglia, Jean Van Schaftingen

We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard equation where is the…