EXISTENCE OF SOLUTIONS FOR NONHOMOGENEOUS DIRICHLET PROBLEMS IN ORLICZ-SOBOLEV SPACES
In this paper, by using variational methods and critical point theory in an appropriate Orlicz-Sobolev space, we establish the existence of infinitely many nontrivial solutions to a nonhomogeneous problem. Precisely, we use the Z_2-symmetric version for the well-known Mountain Pass theorem, to prove the existence of such solutions.
Authors
- KHALD BENALI
- Amor Drissi (ORCID: https://orcid.org/0000-0003-2704-4997)
- Haikel Ouerghi (ORCID: https://orcid.org/0009-0008-3100-1889)
Institutions
- University of Jendouba (TN)
- Tunis El Manar University (TN)
- University of Gabès (TN)
Publication Details
- Journal
- Journal of Science and Arts
- Published
- 2024-12-23
- DOI
- https://doi.org/10.46939/j.sci.arts-24.4-a11
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00