Normalized ground state solutions for Kirchhoff type systems

DOI10.1063/5.0028551zbMath1461.74041OpenAlexW3134052102MaRDI QIDQ5859089

Zuo Yang

Publication date: 15 April 2021

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

Full work available at URL: https://doi.org/10.1063/5.0028551

zbMATH Keywords

existenceminimax methodlocal minimizerpositive radial solution

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Related Items

Normalized solutions to nonlocal Schrödinger systems with \(L^2\)-subcritical and supercritical nonlinearities, Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation, Normalized solutions for nonlinear fractional Kirchhoff type systems

Cites Work

• Unnamed Item
• Unnamed Item
• Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
• Existence and asymptotic behavior of high energy normalized solutions for the Kirchhoff type equations in \(\mathbb{R}^3\)
• The existence of normalized solutions for \(L^2\)-critical constrained problems related to Kirchhoff equations
• Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system
• A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
• Existence and orbital stability of standing waves for nonlinear Schrödinger systems
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
• Multiple normalized solutions for a competing system of Schrödinger equations
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Existence and multiplicity of normalized solutions for the nonlinear Kirchhoff type problems
• Normalized solutions for a coupled Schrödinger system
• Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
• Normalized ground states for the NLS equation with combined nonlinearities
• A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems
• Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term
• The existence of solutions with prescribed L2-norm for Kirchhoff type system
• Existence of solutions with prescribed norm for semilinear elliptic equations
• The sharp existence of constrained minimizers for a class of nonlinear Kirchhoff equations
• Bifurcation in L^p (R^N ) for a Semilinear Elliptic Equation
• Bifurcation from the essential spectrum for some non-compact non-linearities
• Multiple positive normalized solutions for nonlinear Schrödinger systems
• Normalized solutions for nonlinear Schrödinger systems
• On the Well-Posedness of the Kirchhoff String
• Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions