High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity

DOI10.1016/J.AML.2021.107027zbMath1462.35444OpenAlexW3119337454MaRDI QIDQ2021485

Sihua Liang, Vicenţiu D. Rădulescu, Hongling Pu

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107027

zbMATH Keywords

critical growthconcentration-compactness principledegenerate problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator ⋮ Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group ⋮ Fractional Sobolev space on time scales and its application to a fractional boundary value problem on time scales ⋮ Existence and multiplicity of solutions for a fractional \(p\)-Laplacian equation with perturbation ⋮ On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields

Cites Work

• Nonlocal problems at nearly critical growth
• Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
• Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
• Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Existence of solutions for perturbed fractional \(p\)-Laplacian equations
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• On a logarithmic Hartree equation
• Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian

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