Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation

DOI10.1063/1.5144695zbMath1443.81033OpenAlexW3021345760MaRDI QIDQ3298929

Tao Yang

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5144695

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items

Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation, Normalized ground states for the critical fractional Choquard equation with a local perturbation, 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, The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term, Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent, Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation, Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation, Normalized solutions for the fractional Choquard equations with Sobolev critical and double mass supercritical growth, Existence and stability of normalized solutions for nonlocal double phase problems, Normalized ground states for the lower critical fractional Choquard equation with a focusing local perturbation, Normalized solutions for p-Laplacian equations with a \(L^2\)-supercritical growth, Normalized solutions for the fractional NLS with mass supercritical nonlinearity

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