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math.AP2024★ 3 cited
Positive solutions with prescribed mass for a planar Choquard equation with critical growth
Ling Huang, Giulio Romani
We study normalised solutions for a Choquard equation in the plane with polynomial Riesz kernel and exponential nonlinearities, which are critical in the sense of Trudinger-Moser.…
math.AP2024★ 1 cited
Nonlinear Schrödinger-Poisson systems in dimension two: the zero mass case
Federico Bernini, Giulio Romani, Cristina Tarsi
We provide an existence result for a Schrödinger-Poisson system in gradient form, set in the whole plane, in the case of zero mass. Since the setting is limiting for the Sobolev em…
math.AP2024★ 3 cited
Choquard equations with critical exponential nonlinearities in the zero mass case
Giulio Romani
We investigate Choquard equations in driven by a weighted -Laplace operator and with polynomial kernel and zero mass. Since the setting is limiting for the Sobolev…