full
search.png

Search

close.png

Cancel

Volume 7, Issue 2
On a Class of Discrete Problems with the $p(k)$-Laplacian-Like Operators

Mohammed Barghouthe, Mahmoud El Ahmadi, Abdesslem Ayoujil & Mohammed Berrajaa

DOI: 10.12150/jnma.2025.439

J. Nonl. Mod. Anal., 7 (2025), pp. 439-452.

Published online: 2025-04

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

Preview Full PDF 91 1043

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper, we consider a nonlinear discrete problem originating from a capillary phenomena, involving the $p(k)$-Laplacian-like operators with mixed boundary condition. Under appropriate assumptions on the function $f$ and its primitive $F$ near zero and infinity, we investigate the existence and multiplicity of nontrivial solutions by using variational methods and critical point theory.

  • Keywords

Critical point theory, discrete problems, variational methods, $p(k)$-Laplacian-like operators.

  • AMS Subject Headings

39A10, 35J15, 39A12, 34B15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-7-439, author = {Barghouthe , MohammedAhmadi , Mahmoud ElAyoujil , Abdesslem and Berrajaa , Mohammed}, title = {On a Class of Discrete Problems with the $p(k)$-Laplacian-Like Operators}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {439--452}, abstract = {

In this paper, we consider a nonlinear discrete problem originating from a capillary phenomena, involving the $p(k)$-Laplacian-like operators with mixed boundary condition. Under appropriate assumptions on the function $f$ and its primitive $F$ near zero and infinity, we investigate the existence and multiplicity of nontrivial solutions by using variational methods and critical point theory.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.439}, url = {http://global-sci.org/intro/article_detail/jnma/23983.html} }
TY - JOUR T1 - On a Class of Discrete Problems with the $p(k)$-Laplacian-Like Operators AU - Barghouthe , Mohammed AU - Ahmadi , Mahmoud El AU - Ayoujil , Abdesslem AU - Berrajaa , Mohammed JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 439 EP - 452 PY - 2025 DA - 2025/04 SN - 7 DO - http://doi.org/10.12150/jnma.2025.439 UR - https://global-sci.org/intro/article_detail/jnma/23983.html KW - Critical point theory, discrete problems, variational methods, $p(k)$-Laplacian-like operators. AB -

In this paper, we consider a nonlinear discrete problem originating from a capillary phenomena, involving the $p(k)$-Laplacian-like operators with mixed boundary condition. Under appropriate assumptions on the function $f$ and its primitive $F$ near zero and infinity, we investigate the existence and multiplicity of nontrivial solutions by using variational methods and critical point theory.

Barghouthe , MohammedAhmadi , Mahmoud ElAyoujil , Abdesslem and Berrajaa , Mohammed. (2025). On a Class of Discrete Problems with the $p(k)$-Laplacian-Like Operators. Journal of Nonlinear Modeling and Analysis. 7 (2). 439-452. doi:10.12150/jnma.2025.439
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard