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Invited articles: |
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P. Bizon, F. Ficek, D.E. Pelinovsky, and S. Sobieszek,
Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic
potential,
Nonlinear Analysis 210, 112358 (36 pages)
(2021)
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C. Garcia-Azpeitia and D.E. Pelinovsky,
Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates,
Milan Journal of Mathematics 85, 331-367
(2017)
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C. Gallo and D.E. Pelinovsky,
On the Thomas-Fermi approximation of the ground state
in a PT-symmetric confining potential,
Stud. Appl. Math. 133, 398-421
(2014)
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D. Pelinovsky and P. Kevrekidis,
Periodic oscillations of dark solitons in parabolic potentials,
AMS Contemporary Mathematics, 473,
159-180 (2008)
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Regular articles: |
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D.E. Pelinovsky and S. Sobieszek,
Ground state of the Gross-Pitaevskii equation with a harmonic
potential in the energy critical case,
Asymptotic Analysis 139
(2024)1-29
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D.E. Pelinovsky, J. Wei, and Y. Wu,
Positive solutions of the Gross-Pitaevskii equation
for energy critical and supercritical nonlinearities,
Nonlinearity 36
(2023) 3684-3709
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D.E. Pelinovsky and S. Sobieszek,
Morse index for the ground state in the energy super-critical Gross-Pitaevskii equation,
Journal of Differential Equations 341 380-401
(2022)
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P.G. Kevrekidis and D.E. Pelinovsky
On the characterization of vortex configurations
in the steady rotating Bose-Einstein condensates
Proceeding of Royal Society of London A, 473, 2017060 (17 pages)
(2017)
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B.A. Malomed and D.E. Pelinovsky,
Persistence of the Thomas-Fermi approximation for ground states
of the Gross-Pitaevskii equation supported by the nonlinear confinement,
Applied Mathematics Letters 40, 45-48
(2015)
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D.E. Pelinovsky and P.G. Kevrekidis,
Bifurcations of asymmetric vortices
in symmetric harmonic traps,
Applied Mathematics Research Express
2013 127-164
(2013)
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V. Achilleos, D.J. Frantzeskakis, P.G. Kevrekidis, and D.E. Pelinovsky,
Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates,
Physical Review Letters 110, 264101 (5 pages)
(2013)
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C. Gallo and D. Pelinovsky,
On the Thomas-Fermi ground state in a harmonic potential,
Asymptotic Analysis 73,
53-96 (2011)
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D.E. Pelinovsky and P.G. Kevrekidis,
Variational approximations of trapped vortices
in the large-density limit, Nonlinearity 24,
1271-1289 (2011)
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D. Pelinovsky,
Asymptotic properties of excited states in the Thomas-Fermi limit,
Nonlinear Analysis 73, 2631-2643
(2010)
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M.P. Coles, D.E. Pelinovsky, and P.G. Kevrekidis,
Excited states in the Thomas-Fermi limit: a variational approach,
Nonlinearity 23, 1753-1770
(2010)
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P.G. Kevrekidis and D.E. Pelinovsky,
Distribution of eigenfrequencies for oscillations of
the ground state in the Thomas-Fermi limit,
Physical Review A 81,
023627 (5 pages) (2010)
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C. Gallo and D.E. Pelinovsky,
Eigenvalues of a nonlinear ground state
in the Thomas-Fermi approximation,
J. Math. Anal. Appl. 355,
495–526 (2009)
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D.E. Pelinovsky and P.G. Kevrekidis,
Dark solitons in external potentials,
Z. angew. Math. Phys. 59,
559-599 (2008)
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D.E. Pelinovsky, D. Frantzeskakis, and P.G. Kevrekidis,
Oscillations of dark solitons in trapped Bose-Einstein condensates,
Phys. Rev. E 72 016615 (12 pages) (2005)
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