Normalized solutions and least action solutions for Kirchhoff equation with saturable nonlinearity

DOI10.1016/J.AML.2024.109083zbMATH Open1547.3533MaRDI QIDQ6570146

Jiexiong Jin, Guofeng Che

Publication date: 10 July 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

variational methodsKirchhoff-type equationexistence of normalized 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)

Cites Work

• On the existence of soliton solutions to quasilinear Schrödinger equations
• Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions
• Existence and multiplicity of normalized solutions for the nonlinear Kirchhoff type problems
• Normalized solutions of nonautonomous Kirchhoff equations: sub- and super-critical cases
• Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity
• Normalized solutions of quasilinear Schrödinger equations with saturable nonlinearity
• Normalized solutions to the fractional Kirchhoff equations with a perturbation
• Normalized ground states for fractional Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities
• Three positive solutions for the indefinite fractional Schrödinger-Poisson systems

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