Stationary solutions to a nonlocal fourth-order elliptic obstacle problem
Analysis of PDEs
2020-03-04 v1
Abstract
Existence of stationary solutions to a nonlocal fourth-order elliptic obstacle problem arising from the modelling of microelectromechanical systems with heterogeneous dielectric properties is shown. The underlying variational structure of the model is exploited to construct these solutions as minimizers of a suitably regularized energy, which allows us to weaken considerably the assumptions on the model used in a previous article.
Cite
@article{arxiv.2003.01396,
title = {Stationary solutions to a nonlocal fourth-order elliptic obstacle problem},
author = {Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:2003.01396},
year = {2020}
}