@article{Alfulaij2025, 
author = {Manal Alfulaij and Mohamed Jleli and Bessem Samet},
title = {A hyperbolic polyharmonic system in an exterior domain},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {2634-2651},
keywords = {hyperbolic systems, polyharmonic operator, exterior domain, inhomogeneous Navier-type boundary conditions, weak solutions, nonexistence},
url = {https://www.sciopen.com/article/10.3934/math.2025123},
doi = {10.3934/math.2025123},
abstract = {A nonlinear hyperbolic polyharmonic system in an exterior domain of              R        N   is considered under inhomogeneous Navier-type boundary conditions. Using nonlinear capacity estimates specifically adapted to the polyharmonic operator    (  −  Δ      )    m  , the geometry of the domain, and the boundary conditions, a sharp criterium for the nonexistence of weak solutions is obtained. Next, an optimal nonexistence result for the corresponding stationary problem is deduced.}
}