Semi-classical solutions for Kirchhoff type problem with a critical frequency
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Publication:4987476
DOI10.1017/prm.2020.37zbMath1465.35219OpenAlexW3032052797MaRDI QIDQ4987476
Publication date: 3 May 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2020.37
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (4)
Semiclassical ground state solutions for a class of Kirchhoff-type problem with convolution nonlinearity ⋮ Ground state solutions of Schrödinger-Kirchhoff equations with potentials vanishing at infinity ⋮ Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation ⋮ Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials
Cites Work
- Unnamed Item
- Bound state solutions of Kirchhoff type problems with critical exponent
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Concentrating bounded states for a class of singularly perturbed Kirchhoff type equations with a general nonlinearity
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- Ground states for the nonlinear Kirchhoff type problems
- The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in \(\mathbb R^N\)
- Nontrivial solutions for Kirchhoff-type problems with a parameter
- Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
- Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
- Bound state solutions for a class of nonlinear Schrödinger equations
- Nonlinear Schrödinger equations with vanishing and decaying potentials.
- Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
- On a class of nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Existence and multiplicity of solutions for a nonlocal problem with critical Sobolev exponent
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Existence and multiplicity of solutions for a superlinear Kirchhoff-type equations with critical Sobolev exponent in \(\mathbb R^N\)
- Ground states for nonlinear Kirchhoff equations with critical growth
- Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Ground states for Kirchhoff equations without compact condition
- Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^N\)
- Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- On ground states for the Kirchhoff-type problem with a general critical nonlinearity
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Singular perturbed Kirchhoff type problem with critical exponent
- Multi-bump solutions for a Kirchhoff-type problem
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- The existence of a ground-state solution for a class of Kirchhoff-type equations in ℝN
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
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