Existence, non-existence and blow-up behaviour of minimizers for the mass-critical fractional non-linear Schrödinger equations with periodic potentials

DOI10.1017/prm.2019.64zbMath1459.35376arXiv1912.08750OpenAlexW3000429023MaRDI QIDQ4965395

Van Duong Dinh

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

zbMATH Keywords

periodic potentialconcentration-compactness principlestanding wavesblow-up profile

Mathematics Subject Classification ID

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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