Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)

DOI10.1016/j.na.2018.10.007zbMath1421.35119arXiv1907.01888OpenAlexW2900596040MaRDI QIDQ2312578

Lin Li, Boštjan Gabrovšek, Ji-Jiang Sun, Matija Cencelj

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01888

zbMATH Keywords

Kirchhoff-type equationinfinitely many sign-changing solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items

Ground state sign-changing solutions for Schrödinger–Kirchhoff-type problem with critical growth, Kirchhoff equations with indefinite potentials, Existence of least energy nodal solution for Kirchhoff-Schrödinger-Poisson system with potential vanishing, High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator, Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball, Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity, Sign-changing solutions for a class of \(p\)-Laplacian Kirchhoff-type problem with logarithmic nonlinearity, Nodal solutions of fourth-order Kirchhoff equations with critical growth in $\mathbb{R}^N$, Existence of sign-changing solutions for Kirchhoff equations with critical or supercritical nonlinearity, Least energy nodal solution for Kirchhoff type problem with an asymptotically 4-linear nonlinearity, Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system, Infinitely many nodal solutions for Kirchhoff-type equations with non-odd nonlinearity, Nodal solution for critical Kirchhoff-type equation with fast increasing weight in \(\mathbb{R}^2\), On the effect of space dimension and potential on the multiplicity of positive and nodal solutions for Kirchhoff equations, Fractional problems with critical nonlinearities by a sublinear perturbation, Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity, Infinitely many large energy solutions for the Schrödinger-Poisson system with concave and convex nonlinearities, Multiplicity and asymptotic behavior of solutions for quasilinear elliptic equations with small perturbations, Infinitely many nodal solutions with a prescribed number of nodes for the Kirchhoff type equations, Existence of ground state sign-changing solutions of fractional Kirchhoff-type equation with critical growth, Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\), Ground state sign-changing solutions for a Kirchhoff equation with asymptotically 3-linear nonlinearity, Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in \(\mathbb{R} ^2\), Sign-changing solutions for fractional Kirchhoff-type equations with critical and supercritical nonlinearities, A study on the critical Kirchhoff problem in high-dimensional space, Least energy sign-changing solutions of Kirchhoff-type equation with critical growth, Multiple solutions for Schrödinger-Kirchhoff equations with indefinite potential, Semi-classical solutions for Kirchhoff type problem with a critical frequency, Nodal solutions for a critical Kirchhoff type problem in \(\mathbb{R}^N\), Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation, Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials, A class of Kirchhoff-type problems involving the concave-convex nonlinearities and steep potential Well, Infinitely many sign-changing solutions for modified Kirchhoff-type equations in ℝ³, Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations, Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• Infinitely many sign-changing solutions for the Brézis-Nirenberg problem
• The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in \(\mathbb R^N\)
• Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains
• Semilinear elliptic equations for beginners. Existence results via the variational approach
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• Existence and multiplicity of solutions for Kirchhoff type 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 \(\mathbb{R}^3\)
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
• Existence and multiplicity of solutions for the Kirchhoff equations with asymptotically linear nonlinearities
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• Infinitely many sign-changing solutions for the Brézis-Nirenberg problem involving the fractional Laplacian
• Resonance problems for Kirchhoff type equations
• Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
• On a class of Kirchhoff type problems
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• The critical problem of Kirchhoff type elliptic equations in dimension four
• Nodal type bound states of Schrödinger equations via invariant set and minimax methods
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Sign Changing Solutions of Superlinear Schrödinger Equations
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Nodal solutions of a p-Laplacian equation
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations