Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential

DOI10.1515/anona-2020-0185zbMath1479.35817OpenAlexW3177367693MaRDI QIDQ1983832

Jian Zhang, Jingjing Pan

Publication date: 10 September 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0185

zbMATH Keywords

ground statecompactnessvariational characterizationvariable coefficient nonlinear Schrödinger equationminimal mass blow-up solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities ⋮ Global existence, blow-up and mass concentration for the inhomogeneous nonlinear Schrödinger equation with inverse-square potential ⋮ Small solitons and multisolitons in the generalized Davey-Stewartson system

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