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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 2018Show all

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math.AP2018

Uniform bounds for solutions to elliptic problems on simply connected planar domains

Luca Battaglia

We consider the singular Liouville equation and the Henon-Lane-Emden problem on simply connected planar domains. We show that any solution to each problem must satisfy a uniform bo…

math.AP2018

A general existence result for stationary solutions to the Keller-Segel system

Luca Battaglia

We consider a Liouville-type PDE on a smooth bounded planar domain, which is related to stationary solutions of the Keller-Segel's model for chemotaxis. We prove existence of solut…