p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators
We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)(Ω)∩W01,p(.)(Ω),\left\{ {\matrix{ {M\left(...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2023-09-01
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Series: | Moroccan Journal of Pure and Applied Analysis |
Subjects: | |
Online Access: | https://doi.org/10.2478/mjpaa-2023-0028 |