Sign-changing solutions for fractional Kirchhoff-type equations with critical and supercritical nonlinearities
DOI10.1007/S00009-021-01733-5zbMath1465.35209OpenAlexW3137452523MaRDI QIDQ2024721
Liu Gao, Jian-Hua Chen, Chuan-Xi Zhu, Chun-Fang Chen
Publication date: 4 May 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-021-01733-5
fractional Kirchhoff-type equationexistence of sign-changing solutionscritical and supercritical nonlinearities
Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
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Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Symétrie et compacité dans les espaces de Sobolev
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in \(\mathbb{R}^{N}\)
- Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
- Existence and asymptotic behavior of sign-changing solutions for fractional Kirchhoff-type problems in low dimensions
- Minimax theorems
- Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
- Positive solutions for a class of quasilinear Schrödinger equations with two parameters
- Existence of positive ground state solutions for a critical Kirchhoff type problem with sign-changing potential
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Supercritical fractional Kirchhoff type problems
- Existence of sign-changing solutions for Kirchhoff equations with critical or supercritical nonlinearity
- Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity
- Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent
- Sign-changing solutions for a fractional Kirchhoff equation
- The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms
- Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
- Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension
- Sign-changing solutions for the stationary Kirchhoff problems involving the fractional Laplacian in \(\mathbb{R}^N\)
- Multiple solutions for a fractional \(p\)-Kirchhoff problem with Hardy nonlinearity
- Ground state solutions for a class of fractional Kirchhoff equations with critical growth
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
- A critical Kirchhoff type problem involving a nonlocal operator
- A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
- Variational Methods for Nonlocal Fractional Problems
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
- Ground state sign-changing solutions for fractional Kirchhoff equations in bounded domains
- Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity
- Least Energy Nodal Solutions for a Defocusing Schrödinger Equation with Supercritical Exponent
- Existence of nontrivial solutions for Schrödinger‐Kirchhoff type equations with critical or supercritical growth
- An Extension Problem Related to the Fractional Laplacian
- The Brezis-Nirenberg result for the fractional Laplacian
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