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math.AP2023
Normalised solutions and limit profiles of the defocusing Gross-Pitaevskii-Poisson equation
Riccardo Molle, Vitaly Moroz, Giuseppe Riey
We study normalised solutions of the stationary Gross-Pitaevskii-Poisson (GPP) equation with a defocusing local nonlinear term, $$-Δu+λu+|u|^2u =(I_α*|u|^2)u\quad\text{in $\mathbb…
math.AP2023
Concave solutions to Finsler -Laplace type equations
Sunra Mosconi, Giuseppe Riey, Marco Squassina
We prove concavity properties for solutions to anisotropic quasi-linear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth aniso…