Multiple solutions for a fractional \(p\)-Kirchhoff problem with Hardy nonlinearity

DOI10.1016/J.NA.2019.06.009zbMath1429.35080OpenAlexW2952018807MaRDI QIDQ2338689

Wenjing Chen, Yuyan Gui

Publication date: 21 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.na.2019.06.009

zbMATH Keywords

fractional \(p\)-Laplacianconcentration compactness principleKirchhoff-type problemcritical Hardy-Sobolev exponent

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (10)

Asymptotic behavior of the unique solution for a fractional Kirchhoff problem with singularity ⋮ On a nonhomogeneous Kirchhoff-type elliptic problem with critical exponential in dimension two ⋮ Multiplicity and concentration of solutions for a fractional \(p\)-Kirchhoff type equation ⋮ On a fractional Kirchhoff type problem with critical exponential growth nonlinearity ⋮ Sign-changing solutions for fractional Kirchhoff-type equations with critical and supercritical nonlinearities ⋮ Critical Kirchhoff-Choquard system involving the fractional \(p\)-Laplacian operator and singular nonlinearities ⋮ Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth ⋮ Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms ⋮ Multiplicity of solutions for a fractional p-Kirchhoff type problem with sign-changing weights function ⋮ Existence and multiplicity of solutions for fractional Laplacian system

Cites Work

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• A critical Kirchhoff type problem involving a nonlocal operator
• Asymptotics for optimizers of the fractional Hardy–Sobolev inequality
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