Existence and multiplicity results for fractional \(p\)-Kirchhoff equation with sign changing nonlinearities

DOI10.1515/apam-2015-0018zbMath1381.35229arXiv1502.06316OpenAlexW2963820075MaRDI QIDQ278063

Pawan Kumar Mishra, Konijeti Sreenadh

Publication date: 2 May 2016

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06316

zbMATH Keywords

fractional \(p\)-Laplaciancritical exponent problemKirchhoff type problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11)

Related Items (11)

Existence and concentration of ground state solutions for critical Kirchhoff-type equation with steep potential well ⋮ Extremal parameter for double phase problem with concave-convex nonlinearity ⋮ Existence and multiple solutions for the critical fractional p‐Kirchhoff type problems involving sign‐changing weight functions ⋮ The Nehari manifold for a fractional $p$-Kirchhoff system involving sign-changing weight function and concave-convex nonlinearities ⋮ Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function ⋮ Fractional \(p\)-Kirchhoff system with sign changing nonlinearities ⋮ Fractional Kirchhoff equation with critical exponential nonlinearity ⋮ Theoretical developments in the study of partial differential equations ⋮ Critical Kirchhoff-Choquard system involving the fractional \(p\)-Laplacian operator and singular nonlinearities ⋮ A priori bounds and existence of positive solutions for fractional Kirchhoff equations ⋮ Multiple solutions for a fractional \(p\)-Kirchhoff problem with Hardy nonlinearity

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