Limiting behavior and local uniqueness of normalized solutions for mass critical Kirchhoff equations

DOI10.1007/S00526-021-02018-1zbMath1473.35266OpenAlexW3196956554WikidataQ115386556 ScholiaQ115386556MaRDI QIDQ1981622

Chun-Lei Tang, Tingxi Hu

Publication date: 6 September 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02018-1

zbMATH Keywords

existenceuniquenessKirchhoff equationground state solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (13)

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth ⋮ Exact Number of Positive Solutions for the Kirchhoff Equation ⋮ Normalized solutions for nonlinear Kirchhoff type equations in high dimensions ⋮ Three solutions for a new Kirchhoff-type problem ⋮ Blow-up behavior of \(L^2\)-norm solutions for Kirchhoff equation in a bounded domain ⋮ Normalized solutions for two classes of Kirchhoff problems with exponential critical growth ⋮ Normalized solutions of mass supercritical Kirchhoff equation with potential ⋮ Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation ⋮ Normalized ground states for the mass-energy doubly critical Kirchhoff equations ⋮ Normalized solutions to the mass supercritical Kirchhoff-type equation with non-trapping potential ⋮ Normalized ground states for Kirchhoff type equations with general nonlinearities ⋮ Asymptotic Uniqueness of Minimizers for Hartree Type Equations with Fractional Laplacian ⋮ Concentration behavior and local uniqueness of normalized solutions for Kirchhoff type equation

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