Multiplicity Results for a p1x,p2x-Laplacian Equation via Variational Methods

We prove the existence and multiplicity of nontrivial weak solutions for the following p1x,p2x-Laplacian equation involving variable exponents: −div∇up1x−2∇u−div∇up2x−2∇u+up2x−2u=λhx,u,inΩ,u=0,on∂Ω. Using Ricceri’s variational principle, we show the existence of at least three weak solutions for the...

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Bibliographic Details
Main Author: A. Rezvani
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/7622379
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