@Article{JNMA-7-1870, author = {Oubaha , AichaMoujane , NoureddineOuaarabi , Mohamed El and Raji , Abderrahmane}, title = {On a Class of Nonlinear Elliptic Problems Involving the $α(z)$-Biharmonic Operator with an $l(z)$-Hardy Term}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {5}, pages = {1870--1885}, abstract = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1870}, url = {http://global-sci.org/intro/article_detail/jnma/24395.html} }