Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation

DOI10.1007/s12220-022-01171-zOpenAlexW4318973898MaRDI QIDQ2688217

Jianjun Nie, Wen Zhang, Quanqing Li

Publication date: 2 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01171-z

zbMATH Keywords

Sobolev critical growthnormalized ground state solutionsSobolev subcritical approximation method

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Related Items

On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ 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 ⋮ Radial and nonradial solutions for nonautonomous Kirchhoff problems ⋮ Ground state solutions for a kind of superlinear elliptic equations with variable exponent ⋮ Existence and concentration of ground state solutions for a Schrödinger-Poisson-type system with steep potential well ⋮ Ground state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growth ⋮ Existence and stability of normalized solutions for nonlocal double phase problems ⋮ Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system ⋮ Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth ⋮ Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with zero mass

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