Infinitely many sign-changing solutions for Kirchhoff type equations

DOI10.1080/17476933.2019.1636790zbMath1437.35215OpenAlexW2964730630MaRDI QIDQ5222641

Li Wang, Wen-Tao Huang

Publication date: 6 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1636790

zbMATH Keywords

Kirchhoff-type equationexistence of sign-changing solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Nodal solutions for a critical Kirchhoff type problem in \(\mathbb{R}^N\) ⋮ Infinitely many sign-changing solutions for modified Kirchhoff-type equations in ℝ³

Cites Work

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• Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in \(\mathbb R^N\)
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• 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 \(\mathbb{R}^3\)
• 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
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• On a superlinear elliptic \(p\)-Laplacian equation.
• Minimax theorems
• Ground states for nonlinear Kirchhoff equations with critical growth
• Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
• Dual variational methods in critical point theory and applications
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Ground states for Kirchhoff equations without compact condition
• 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 \(\mathbb{R}^3\)
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Infinitely many positive solutions for Kirchhoff-type problems
• Sign Changing Solutions of Superlinear Schrödinger Equations
• Sign-changing critical points from linking type theorems
• On the Well-Posedness of the Kirchhoff String
• Existence of a nodal solution with minimal energy for a Kirchhoff equation
• Nodal solutions of a p-Laplacian equation
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
• Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation

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