Signed and sign-changing solutions for a class Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity

2018/11/23 by Rodrigo de Freitas Gabert, Gabert, Rodrigo de Freitas, Rodrigo da Silva Rodrigues +1
Computer Science · Engineering · Mathematics · #35J20 #35J60 #47G20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #and 35B33 #math.AP #msc:35B33 #msc:35J20 #msc:35J60 #msc:47G20

paper · pdf · doi:10.48550/arxiv.1811.09555

arxiv created 2018/11/23 · openalex publication_date 2018/11/23 · arxiv updated 2018/11/26 · openalex created_date 2018/11/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the existence of three solutions for a Kirchhoff equation involving the nonlocal fractional p-Laplacian considering Sobolev and Hardy nonlinearities at subcritical and critical growths. The proof is based on Mountain Pass Theorem, Ekeland's variational principle and constrained minimization in Nehari sets.

Related

• Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold
• Nonlocal problems with critical Hardy nonlinearity
• On Critical Kirchhoff problems driven by the fractional Laplacian
• Fractional p-Kirchhoff equation with Sobolev and Choquard singular nonlinearities
• Sign-changing solutions for the stationary Kirchhoff problems involving the fractional Laplacian in R^N