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
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Publication:2170674
DOI10.1515/anona-2022-0252zbMath1498.35197OpenAlexW4285198146MaRDI QIDQ2170674
Publication date: 6 September 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2022-0252
Schrödinger operator, Schrödinger equation (35J10) 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 (15)
Normalized solutions of Chern-Simons-Schrödinger equations with exponential critical growth ⋮ Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case ⋮ Normalized solutions for the fractional Choquard equations with Sobolev critical and double mass supercritical growth ⋮ Normalized solutions to fractional mass supercritical Choquard systems ⋮ Existence and stability of normalized solutions for nonlocal double phase problems ⋮ Dirichlet problems for fractional Laplace equations with singular nonlinearity ⋮ Normalized solutions of nonhomogeneous mass supercritical Schrödinger equations in bounded domains ⋮ Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth ⋮ Normalized solutions to the fractional Schrödinger equation with potential ⋮ Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation ⋮ Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth ⋮ Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities ⋮ Normalized solutions to lower critical Choquard equation with a local perturbation ⋮ Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities
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