On the singularly perturbation fractional Kirchhoff equations: critical case

DOI10.1515/anona-2022-0234zbMath1485.35023OpenAlexW4226297096MaRDI QIDQ2117414

Guangze Gu, Zhipeng Yang

Publication date: 21 March 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0234

zbMATH Keywords

Lyapunov-Schmidt reductionnondegeneracyfractional Kirchhoff equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (12)

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth ⋮ Semiclassical ground state solutions for a class of Kirchhoff-type problem with convolution nonlinearity ⋮ Nondegeneracy of solutions to the critical p$p$‐Laplace Kirchhoff equation ⋮ Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity ⋮ Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems ⋮ Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms ⋮ \(p\)-Kirchhoff modified Schrödinger equation with critical nonlinearity in \(\mathbb{R}^N\) ⋮ Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory ⋮ Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical nonlocal term ⋮ On the fractional Kirchhoff equation with critical Sobolev exponent ⋮ Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses ⋮ Non-degeneracy of positive solutions for fractional Kirchhoff problems: high dimensional cases

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