Existence of multiple solutions for fractional \(p\)-Kirchhoff equations with concave-convex nonlinearities

DOI10.1186/s13661-017-0759-zzbMath1364.35427OpenAlexW2589350678WikidataQ59526639 ScholiaQ59526639MaRDI QIDQ518377

Tianqing An, Libo Yang

Publication date: 28 March 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0759-z

zbMATH Keywords

fractional \(p\)-Laplacianfibering mapsconcave-convex nonlinearitiesKirchhoff-type equationsNehari manifold method

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Integro-partial differential equations (35R09)

Related Items (2)

The Nehari manifold for a fractional $p$-Kirchhoff system involving sign-changing weight function and concave-convex nonlinearities ⋮ Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in \(\mathbb{R}^N\)

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