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Volume 7, Issue 3
Three Weak Solutions for ($p(x)$,$q(x)$)-Biharmonic Problem with Hardy Weight with Two Parameters

Ibrahim Chamlal, Mohamed Talbi, Najib Tsouli & Mohammed Filali

J. Nonl. Mod. Anal., 7 (2025), pp. 823-839.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The focus of this study is on the existence of three solutions to ($p(·)$, $q(·)$)-biharmonic operator with an $s(x)$-Hardy term under no-flux boundary conditions. Our method is based on the variational method and critical point results.

  • AMS Subject Headings

35D30, 35G30, 35J75, 46E35

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COPYRIGHT: © Global Science Press

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@Article{JNMA-7-823, author = {Chamlal , IbrahimTalbi , MohamedTsouli , Najib and Filali , Mohammed}, title = {Three Weak Solutions for ($p(x)$,$q(x)$)-Biharmonic Problem with Hardy Weight with Two Parameters}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {823--839}, abstract = {

The focus of this study is on the existence of three solutions to ($p(·)$, $q(·)$)-biharmonic operator with an $s(x)$-Hardy term under no-flux boundary conditions. Our method is based on the variational method and critical point results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.823}, url = {http://global-sci.org/intro/article_detail/jnma/24104.html} }
TY - JOUR T1 - Three Weak Solutions for ($p(x)$,$q(x)$)-Biharmonic Problem with Hardy Weight with Two Parameters AU - Chamlal , Ibrahim AU - Talbi , Mohamed AU - Tsouli , Najib AU - Filali , Mohammed JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 823 EP - 839 PY - 2025 DA - 2025/05 SN - 7 DO - http://doi.org/10.12150/jnma.2025.823 UR - https://global-sci.org/intro/article_detail/jnma/24104.html KW - Variational method, singular problem, $p(x)$-biharmonic operator. AB -

The focus of this study is on the existence of three solutions to ($p(·)$, $q(·)$)-biharmonic operator with an $s(x)$-Hardy term under no-flux boundary conditions. Our method is based on the variational method and critical point results.

Chamlal , IbrahimTalbi , MohamedTsouli , Najib and Filali , Mohammed. (2025). Three Weak Solutions for ($p(x)$,$q(x)$)-Biharmonic Problem with Hardy Weight with Two Parameters. Journal of Nonlinear Modeling and Analysis. 7 (3). 823-839. doi:10.12150/jnma.2025.823
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