High perturbations of a new Kirchhoff problem involving the p-Laplace operator

Abstract In the present work we are concerned with the existence and multiplicity of solutions for the following new Kirchhoff problem involving the p-Laplace operator: { − ( a − b ∫ Ω | ∇ u | p d x ) Δ p u = λ | u | q − 2 u + g ( x , u ) , x ∈ Ω , u = 0 , x ∈ ∂ Ω , $$ \textstyle\begin{cases} - (a-b...

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Bibliographic Details
Main Authors: Zhongyi Zhang, Yueqiang Song
Format: Article
Language:English
Published: SpringerOpen 2021-12-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01566-x