2 papers
math.AP2023
Ground state of the Gross-Pitaevskii equation with a harmonic potential in the energy-critical case
Dmitry E. Pelinovsky, Szymon Sobieszek
Ground state of the energy-critical Gross-Pitaevskii equation with a harmonic potential can be constructed variationally. It exists in a finite interval of the eigenvalue parameter…
math.AP2021
Morse index for the ground state in the energy supercritical Gross--Pitaevskii equation
Dmitry E. Pelinovsky, Szymon Sobieszek
The ground state of the energy super-critical Gross--Pitaevskii equation with a harmonic potential converges in the energy space to the singular solution in the limit of large ampl…