Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation
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Publication:2175349
DOI10.1007/S00033-020-01301-ZzbMath1437.35615arXiv1903.04644OpenAlexW2920808494MaRDI QIDQ2175349
Van Duong Dinh, Alex H. Ardila
Publication date: 29 April 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04644
Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Related Items (7)
Concentration behavior of ground states for \( L^2\)-critical Schrödinger equation with a spatially decaying nonlinearity ⋮ Instability of standing waves for the inhomogeneous Gross-Pitaevskii equation ⋮ Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation ⋮ Minimizers of \(L^2\)-subcritical variational problems with spatially decaying nonlinearities in bounded domains ⋮ Minimizers of \(L^2\)-subcritical inhomogeneous variational problems with a spatially decaying nonlinearity ⋮ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement ⋮ On nonlinear Schrödinger equations with attractive inverse-power potentials
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