This paper presents sufficient conditions for the existence and nonexistence of eigenvalues for a $p(x)$-biharmonic equation with Navier boundary conditions and weight function on a bounded domain in $\mathbb{R}^N$. Our approach is mainly based on a adequate variational techniques.
@article{31657,
title = {Existence and nonexistence results for weighted fourth order eigenvalue problems with variable exponent},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {37},
year = {2017},
doi = {10.5269/bspm.v37i3.31657},
language = {EN},
url = {http://dml.mathdoc.fr/item/31657}
}
Ayoujil, Abdesslem. Existence and nonexistence results for weighted fourth order eigenvalue problems with variable exponent. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i3.31657. http://gdmltest.u-ga.fr/item/31657/