Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent

DOI10.54330/afm.120247zbMath1497.35232arXiv2103.08106OpenAlexW3136005094MaRDI QIDQ5097186

Xiao Luo, Tao Yang, Gongbao Li

Publication date: 22 August 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08106

zbMATH Keywords

asymptotic behaviorvariational methodsKirchhoff equationSobolev critical exponentnormalized solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Quasilinear elliptic equations (35J62)

Related Items (11)

Normalized solutions to nonlocal Schrödinger systems with \(L^2\)-subcritical and supercritical nonlinearities ⋮ The existence of normalized solutions to the Kirchhoff equation with potential and Sobolev critical nonlinearities ⋮ Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case ⋮ On the Kirchhoff equation with prescribed mass and general nonlinearities ⋮ Normalized ground states for fractional Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities ⋮ Normalized ground states for the mass-energy doubly critical Kirchhoff equations ⋮ Normalized solutions to the mass supercritical Kirchhoff-type equation with non-trapping potential ⋮ Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity ⋮ Normalized ground states for Kirchhoff type equations with general nonlinearities ⋮ Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case ⋮ The existence of normalized solutions for a fractional Kirchhoff-type equation with doubly critical exponents

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