MULTIPLE SOLUTIONS FOR A LERAY-LIONS FOURTH-ORDER PROBLEM

This work considers a Leray-Lions problem in nonstandard Sobolev spaces. We assume some assertions about the functions k and f to establish the existence and multiplicity of solutions for the problem {■(Δ(k(x,Δw))+b(x)|w|^(p(x)-2) w=λf(x,w),&" in " Q@w=Δw=0,&" on " ∂Q)┤

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Publication Details

Journal
Journal of Science and Arts
Published
2025-06-30
DOI
https://doi.org/10.46939/j.sci.arts-25.2-a13
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

MULTIPLE SOLUTIONS FOR A LERAY-LIONS FOURTH-ORDER PROBLEM

Nawal Irzi, Khaled Kefi
Journal of Science and Arts
Differential Equations and Numerical Methods
article

MULTIPLE SOLUTIONS FOR A LERAY-LIONS FOURTH-ORDER PROBLEM

Nawal Irzi, Khaled Kefi
article en

Abstract

This work considers a Leray-Lions problem in nonstandard Sobolev spaces. We assume some assertions about the functions k and f to establish the existence and multiplicity of solutions for the problem {■(Δ(k(x,Δw))+b(x)|w|^(p(x)-2) w=λf(x,w),&" in " Q@w=Δw=0,&" on " ∂Q)┤

Journal of Science and ArtsVol. 25(2)
Northern Border University (SA), University of Béjaïa (DZ)
Northern Border University
Openalex Percentile: Top 74%
Differential Equations and Numerical Methods
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