3 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential
Piotr Bizon, Filip Ficek, Dmitry E. Pelinovsky +1
The energy super-critical Gross--Pitaevskii equation with a harmonic potential is revisited in the particular case of cubic focusing nonlinearity and dimension d > 4. In order to p…
A qualitative study of an anaerobic food-web reveals the importance of hydrogen for microbial stability
Szymon Sobieszek, Gail S. K. Wolkowicz, Matthew J. Wade
The mathematical analysis of a three-tiered food-web describing anaerobic chlorophenol mineralisation has suggested the emergence of interesting dynamical behaviour through its spe…