Version 1
: Received: 29 September 2024 / Approved: 29 September 2024 / Online: 30 September 2024 (05:35:59 CEST)
How to cite:
Mostafa, R.; Karim, B.; Abdellah, Z.; Abdessamad, L. Existence of Two Solutions for $(p(x), Q(x))$-Laplacian. Preprints2024, 2024092355. https://doi.org/10.20944/preprints202409.2355.v1
Mostafa, R.; Karim, B.; Abdellah, Z.; Abdessamad, L. Existence of Two Solutions for $(p(x), Q(x))$-Laplacian. Preprints 2024, 2024092355. https://doi.org/10.20944/preprints202409.2355.v1
Mostafa, R.; Karim, B.; Abdellah, Z.; Abdessamad, L. Existence of Two Solutions for $(p(x), Q(x))$-Laplacian. Preprints2024, 2024092355. https://doi.org/10.20944/preprints202409.2355.v1
APA Style
Mostafa, R., Karim, B., Abdellah, Z., & Abdessamad, L. (2024). Existence of Two Solutions for $(p(x), Q(x))$-Laplacian. Preprints. https://doi.org/10.20944/preprints202409.2355.v1
Chicago/Turabian Style
Mostafa, R., Zerouali Abdellah and Lakhdi Abdessamad. 2024 "Existence of Two Solutions for $(p(x), Q(x))$-Laplacian" Preprints. https://doi.org/10.20944/preprints202409.2355.v1
Abstract
The present paper discusses an elliptic equation with Steklov boundary conditions and $(p(x),q(x))$-Laplacian. Using mountain pass theorem together with Ekeland's variational principle, we prove, under appropriate conditions on the functions involved, that the problem admits at least two solutions.
Computer Science and Mathematics, Computational Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
