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EXISTENCE OF SOLUTIONS FOR NONHOMOGENEOUS DIRICHLET PROBLEMS IN ORLICZ-SOBOLEV SPACES.

Authors :
OUERGHI, HAIKEL
BENALI, KHALD
DRISSI, AMOR
Source :
Journal of Science & Arts. Dec2024, Vol. 24 Issue 4, p881-894. 14p.
Publication Year :
2024

Abstract

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 Z2-symmetric version for the well-known Mountain Pass theorem, to prove the existence of such solutions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18449581
Volume :
24
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Science & Arts
Publication Type :
Academic Journal
Accession number :
182249565
Full Text :
https://doi.org/10.46939/J.Sci.Arts-24.4-a11