Normalized solutions for the Kirchhoff equation with combined nonlinearities in \(\mathbb{R}^4\)
From MaRDI portal
Publication:6646309
DOI10.1515/anona-2024-0042MaRDI QIDQ6646309
Ying Lv, Chun-Lei Tang, Xin Qiu, Zeng-Qi Ou
Publication date: 29 November 2024
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- The mass concentration phenomenon for \(L^2\)-critical constrained problems related to Kirchhoff equations
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- The existence of normalized solutions for \(L^2\)-critical constrained problems related to Kirchhoff equations
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Best constant in Sobolev inequality
- Remarks on the Schrödinger operator with singular complex potentials
- Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
- Positive solutions for a nonlinear nonlocal elliptic transmission problem
- Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential
- Existence and multiplicity of solutions for a nonlocal problem with critical Sobolev exponent
- Multiple normalized solutions for a competing system of Schrödinger equations
- Limiting behavior and local uniqueness of normalized solutions for mass critical Kirchhoff equations
- Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case
- Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- Normalized solutions to the fractional Schrödinger equations with combined nonlinearities
- The existence of constrained minimizers for a class of nonlinear Kirchhoff-Schrödinger equations with doubly critical exponents in dimension four
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Existence and uniqueness of normalized solutions for the Kirchhoff equation
- The critical problem of Kirchhoff type elliptic equations in dimension four
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation
- Normalized solutions for the \(p\)-Laplacian equation with a trapping potential
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- The sharp existence of constrained minimizers for a class of nonlinear Kirchhoff equations
- On the Well-Posedness of the Kirchhoff String
- Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent
- Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
- Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation
- Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case
- Global solutions for a nonlinear Kirchhoff type equation with viscosity
- Normalized ground states for the mass-energy doubly critical Kirchhoff equations
This page was built for publication: Normalized solutions for the Kirchhoff equation with combined nonlinearities in \(\mathbb{R}^4\)