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math.AP2026
Long time strong Sobolev instability for quasilinear NLS
Yuri Cacchiò, Filippo Giuliani, Felice Iandoli +1
We prove long-time strong Sobolev instability for a class of quasilinear Schrödinger equations on arising, via the Madelung transform, in the description of Euler-Kor…
math.AP2026
Point interactions and singular solutions to semilinear elliptic equations
Filippo Boni, Diego Noja, Raffaele Scandone
We investigate the connection between semilinear elliptic PDEs with isolated singularities and stationary nonlinear Schrödinger equations with point interactions. In dimensions $d=…