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math.AP2025
Existence and non-existence of minimizers for a multi-particle model with concave nonlinearity
David Gontier, Salma Lahbabi, Simona Rota Nodari
We study a multi--particle model including a kinetic energy and a non linear local self-interaction, both in the bosonic and fermionic cases. In both cases, we prove that the model…
math.AP2025
A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation
Meriem Bahhi, Jonas Lampart, Christian Klein +1
We discuss the (in)stability of solitary waves for a quasi-linear Schr{ö}dinger equation. The equation contains a quasi-linear term, responsible for a saturation effect, as well a…