Remarks on normalized solutions for \(l^2\)-critical Kirchhoff problems

DOI10.11650/tjm.20.2016.6548zbMath1357.35135OpenAlexW2408776903MaRDI QIDQ515029

Yonglong Zeng, Kuisheng Chen

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.20.2016.6548

zbMATH Keywords

minimization problemsvariational methodKirchhoff equation\(L^2\)-critical

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Existence of ground state for fractional Kirchhoff equation with \(L^2\) critical exponents ⋮ The existence of normalized solutions to the Kirchhoff equation with potential and Sobolev critical nonlinearities ⋮ The existence and asymptotic behavior of normalized solutions for Kirchhoff equation with singular potential ⋮ Existence and blow up behavior of positive normalized solution to the Kirchhoff equation with general nonlinearities: mass super-critical case ⋮ Existence and asymptotic behavior of minimizers for the Kirchhoff functional with periodic potentials ⋮ The existence of normalized solutions for a fractional Kirchhoff-type equation with doubly critical exponents

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