The existence of solutions with prescribed L2-norm for Kirchhoff type system

DOI10.1063/1.4982037zbMath1371.35056OpenAlexW2607974128MaRDI QIDQ2981018

Jun Wang, Junxiang Xu, Xiaofei Cao

Publication date: 8 May 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4982037

zbMATH Keywords

Kirchhoff type systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Existence of multi-bump solutions for a nonlinear Kirchhoff-type system ⋮ The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the \(L^2\)-subcritical and \(L^2\)-supercritical cases ⋮ Normalized solutions to nonlocal Schrödinger systems with \(L^2\)-subcritical and supercritical nonlinearities ⋮ Normalized solutions for nonlinear fractional Kirchhoff type systems ⋮ Normalized ground state solutions for Kirchhoff type systems

Cites Work

• Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
• On the collapse and concentration of Bose-Einstein condensates with inhomogeneous attractive interactions
• The existence of normalized solutions for \(L^2\)-critical constrained problems related to Kirchhoff equations
• Existence and orbital stability of standing waves for nonlinear Schrödinger systems
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Nonlinear scalar field equations. I: Existence of a ground state
• Minimax theorems
• Multiple normalized solutions for quasi-linear Schrödinger equations
• Concentration behavior of standing waves for almost mass critical nonlinear Schrödinger equations
• On the mass concentration for Bose-Einstein condensates with attractive interactions
• Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
• Existence of solutions with prescribed norm for semilinear elliptic equations
• The sharp existence of constrained minimizers for a class of nonlinear Kirchhoff equations
• Normalized solutions for nonlinear Schrödinger systems
• Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions

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