TY - JOUR
T1 - On a Class of Nonlinear Elliptic Problems Involving the $α(z)$-Biharmonic Operator with an $l(z)$-Hardy Term
AU - Oubaha , Aicha
AU - Moujane , Noureddine
AU - Ouaarabi , Mohamed El
AU - Raji , Abderrahmane
JO - Journal of Nonlinear Modeling and Analysis
VL - 5
SP - 1870
EP - 1885
PY - 2025
DA - 2025/09
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1870
UR - https://global-sci.org/intro/article_detail/jnma/24395.html
KW - $α(z)$-biharmonic operator, variable exponents, $l(z)$-Hardy term,
Hardy-Rellich inequality, Mountain Pass Theorem.
AB - <p style="text-align: justify;">By applying the Mountain Pass Theorem, we establish the existence of a weak solution for a class of nonlinear elliptic problem involving
an $α(z)$-biharmonic operator and with an $l(z)$-hardy term in a bounded domain of $\mathbb{R}^N.$ Provided that certain additional assumptions are made regarding
the nonlinearities, the corresponding functional will satisfy the Palais-Smale
condition.</p>