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math.AP2023★ 7 cited
Nonlocal planar Schrödinger-Poisson systems in the fractional Sobolev limiting case
Daniele Cassani, Zhisu Liu, Giulio Romani
We study the nonlinear Schrödinger equation for the fractional Laplacian strongly coupled with the Poisson equation in dimension two and with , which is the limi…
math.AP2023
Symmetry and uniqueness for a hinged plate problem in a ball
Giulio Romani
In this paper we address some questions about symmetry, radial monotonicity, and uniqueness for a semilinear fourth-order boundary value problem in the ball of derivi…