On a fractional Kirchhoff-type equation via Krasnoselskii’s genus

DOI10.3233/ASY-151316zbMath1330.35500OpenAlexW1870320983MaRDI QIDQ3454721

Giovanni Molica Bisci, Giovany M. Figueiredo, Raffaella Servadei

Publication date: 26 November 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151316

zbMATH Keywords

variational methodscritical point theorynonlocal problemsfractional LaplacianKirchhoff-type equationsKrasnoselskii's genus

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (27)

Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions ⋮ Infinitely many solutions for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian ⋮ Asymptotic behavior of the unique solution for a fractional Kirchhoff problem with singularity ⋮ A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity ⋮ On a fractional equation of Kirchhoff type with a potential asymptotically linear at infinity ⋮ Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities ⋮ Existence of solutions for Schrödinger-Kirchhoff type problems involving nonlocal elliptic operators ⋮ Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\) ⋮ Supercritical fractional Kirchhoff type problems ⋮ An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system ⋮ Variational analysis for nonlocal Yamabe-type systems ⋮ Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities ⋮ Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in \(\mathbb{R}^{N}\) ⋮ Existence and multiplicity of solutions for fractionalp-Laplacian Schrödinger–Kirchhoff type equations ⋮ A critical fractional Choquard–Kirchhoff problem with magnetic field ⋮ Infinitely many solutions for sublinear indefinite nonlocal elliptic equations perturbed from symmetry ⋮ Existence of three solutions for Kirchhoff-type three-point boundary value problems ⋮ Multiplicity of solutions for a class of fractional Choquard-Kirchhoff equations involving critical nonlinearity ⋮ Fractional Kirchhoff equation with critical exponential nonlinearity ⋮ Infinitely many solutions for the stationary fractional \(p\)-Kirchhoff problems in \(\mathbb{R}^N\) ⋮ A uniqueness result for strong singular Kirchhoff-type fractional Laplacian problems ⋮ Existence and multiplicity solutions for the \(p\)-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity ⋮ Editorial. Progress in nonlinear Kirchhoff problems ⋮ Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations ⋮ Infinitely many periodic solutions for a class of fractional Kirchhoff problems ⋮ Existence of positive solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities ⋮ Multiple solutions of systems involving fractional Kirchhoff-type equations with critical growth

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