Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation
From MaRDI portal
Publication:2688217
DOI10.1007/s12220-022-01171-zOpenAlexW4318973898MaRDI QIDQ2688217
Jianjun Nie, Wen Zhang, Quanqing Li
Publication date: 2 March 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-01171-z
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)
Related Items
On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case ⋮ Normalized solutions for the fractional Choquard equations with Sobolev critical and double mass supercritical growth ⋮ Radial and nonradial solutions for nonautonomous Kirchhoff problems ⋮ Ground state solutions for a kind of superlinear elliptic equations with variable exponent ⋮ Existence and concentration of ground state solutions for a Schrödinger-Poisson-type system with steep potential well ⋮ Ground state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growth ⋮ Existence and stability of normalized solutions for nonlocal double phase problems ⋮ Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system ⋮ Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth ⋮ Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with zero mass
Cites Work
- Unnamed Item
- 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
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential
- On the concentration phenomenon of \(L^{2}\)-subcritical constrained minimizers for a class of Kirchhoff equations with potentials
- Limiting behavior and local uniqueness of normalized solutions for mass critical Kirchhoff equations
- Normalized solutions of nonautonomous Kirchhoff equations: sub- and super-critical cases
- Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
- Semiclassical states for coupled nonlinear Schrödinger system with competing potentials
- Double phase problems with competing potentials: concentration and multiplication of ground states
- Existence and concentration of ground-states for fractional Choquard equation with indefinite potential
- Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems
- 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 the fractional Schrödinger equations with combined nonlinearities
- Normalized solutions for a class of nonlinear Choquard equations
- Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Ground states for Kirchhoff equations without compact condition
- Existence and uniqueness of normalized solutions for the Kirchhoff equation
- Ground state solutions for a class of fractional Kirchhoff equations with critical growth
- The critical problem of Kirchhoff type elliptic equations in dimension four
- On ground states for the Kirchhoff-type problem with a general critical nonlinearity
- Existence and asymptotic behavior of localized nodal solutions for a class of Kirchhoff-type equations
- Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction
- Ground states for Kirchhoff-type equations with critical or supercritical growth
- The sharp existence of constrained minimizers for a class of nonlinear Kirchhoff equations
- On the Well-Posedness of the Kirchhoff String
- Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation
- Normalized solutions of the autonomous Kirchhoff equation with Sobolev critical exponent: Sub- and super-critical cases
- Normalized ground states for Kirchhoff equations in R3 with a critical nonlinearity
- Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation
- Normalized solutions for the Kirchhoff equation on noncompact metric graphs *
- Normalized ground state solutions for Kirchhoff type systems
