Existence of ground states for Kirchhoff-type problems with general potentials

DOI10.1007/s12220-020-00546-4zbMath1473.35265OpenAlexW3096763426MaRDI QIDQ2050597

Dongdong Qin, Xian Hua Tang, Fu Li He

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00546-4

zbMATH Keywords

Kirchhoff-type equationexistence of ground state solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (6)

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth ⋮ Existence of solutions for modified Kirchhoff-type equation without the Ambrosetti-Rabinowitz condition ⋮ Sharp condition for inhomogeneous nonlinear Schrödinger equations by cross-invariant manifolds ⋮ Existence of ground state solutions for Kirchhoff-type problem with variable potential ⋮ Radial and nonradial solutions for nonautonomous Kirchhoff problems ⋮ Existence, multiplicity and nonexistence results for Kirchhoff type equations

Cites Work

• Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• 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
• The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
• 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 \(\mathbb{R}^3\)
• Ground state solutions for the nonlinear Schrödinger-Bopp-Podolsky system with critical Sobolev exponent
• Nonlinear scalar field equations. I: Existence of a ground state
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Multiple solutions for critical Choquard-Kirchhoff type equations
• Existence results of positive solutions of Kirchhoff type problems
• Minimax theorems
• Multiple solutions for the nonhomogeneous Kirchhoff equation on \(\mathbb R^N\)
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Existence, multiplicity and nonexistence results for Kirchhoff type equations
• Infinitely many solutions for Kirchhoff problems with lack of compactness
• Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities
• Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
• Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
• Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
• 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 and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• Infinitely many sign-changing solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
• 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
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Bounded Palais-Smale mountain-pass sequences
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• A Note on a Mountain Pass Characterization of Least Energy Solutions
• A positive solution for a nonlinear Schroedinger equation on R^N
• Berestycki-Lions conditions on ground state solutions for Kirchhoff-type problems with variable potentials
• A note on the elliptic Kirchhoff equation in ℝ^Nperturbed by a local nonlinearity

This page was built for publication: Existence of ground states for Kirchhoff-type problems with general potentials