Skip to Main content Skip to Navigation
New interface
Journal articles

A Weighted Eigenvalue Problems Driven by both p(·)-Harmonic and p(·)-Biharmonic Operators

Abstract : The existence of at least one non-decreasing sequence of positive eigenvalues for the problem driven by both p(·)-Harmonic and p(·)-biharmonic operators Δp(x)2u-Δp(x)u=λw(x)|u|q(x)-2u   in  Ω,            u∈W2,p(⋅)(Ω)∩W0-1,p(⋅)(Ω), is proved by applying a local minimization and the theory of the generalized Lebesgue-Sobolev spaces Lp(·)(Ω) and Wm,p(·)(Ω).
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03664984
Contributor : Episciences System Connect in order to contact the contributor
Submitted on : Wednesday, May 11, 2022 - 1:48:49 PM
Last modification on : Thursday, May 12, 2022 - 3:03:02 AM

File

10-2478-cm-2020-0011.pdf
Explicit agreement for this submission

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

Collections

Citation

Mohamed Laghzal, Abdelouahed El Khalil, Abdelfattah Touzani. A Weighted Eigenvalue Problems Driven by both p(·)-Harmonic and p(·)-Biharmonic Operators. Communications in Mathematics, 2021, Volume 29 (2021), Issue 3 (3), pp.443 - 455. ⟨10.2478/cm-2020-0011⟩. ⟨hal-03664984⟩

Share

Metrics

Record views

13

Files downloads

56