Existence, non-existence and blow-up behaviour of minimizers for the mass-critical fractional non-linear Schrödinger equations with periodic potentials
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Publication:4965395
DOI10.1017/prm.2019.64zbMath1459.35376arXiv1912.08750OpenAlexW3000429023MaRDI QIDQ4965395
Publication date: 1 March 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.08750
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
Related Items (4)
The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the \(L^2\)-subcritical and \(L^2\)-supercritical cases ⋮ Normalized solutions to fractional Schrödinger equation with potentials ⋮ Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth ⋮ Asymptotic behavior of constraint minimizers for the mass-critical fractional nonlinear Schrödinger equation with a subcritical perturbation
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